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1024234030320 = 243583109471719
BaseRepresentation
bin11101110011110010001…
…10110000010011110000
310121220201122000201102120
432321321012300103300
5113240112402432240
62102305425514240
7133666321416444
oct16717106602360
93556648021376
101024234030320
11365414454626
12146605aa2980
137577ac05757
1437804ba2824
151b999084ad0
hexee791b04f0

1024234030320 has 160 divisors (see below), whose sum is σ = 3242867443200. Its totient is φ = 267362214912.

The previous prime is 1024234030307. The next prime is 1024234030343. The reversal of 1024234030320 is 230304324201.

1024234030320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935421 + ... + 2407139.

It is an arithmetic number, because the mean of its divisors is an integer number (20267921520).

Almost surely, 21024234030320 is an apocalyptic number.

1024234030320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024234030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621433721600).

1024234030320 is an abundant number, since it is smaller than the sum of its proper divisors (2218633412880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1024234030320 is a wasteful number, since it uses less digits than its factorization.

1024234030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471927 (or 471921 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1024234030320 its reverse (230304324201), we get a palindrome (1254538354521).

The spelling of 1024234030320 in words is "one trillion, twenty-four billion, two hundred thirty-four million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 109 120 166 218 240 249 327 332 415 436 498 545 654 664 830 872 996 1090 1245 1308 1328 1635 1660 1744 1992 2180 2490 2616 3270 3320 3984 4360 4980 5232 6540 6640 8720 9047 9960 13080 18094 19920 26160 27141 36188 45235 54282 72376 90470 108564 135705 144752 180940 217128 271410 361880 434256 471719 542820 723760 943438 1085640 1415157 1886876 2171280 2358595 2830314 3773752 4717190 5660628 7075785 7547504 9434380 11321256 14151570 18868760 22642512 28303140 37737520 39152677 51417371 56606280 78305354 102834742 113212560 117458031 154252113 156610708 195763385 205669484 234916062 257086855 308504226 313221416 391526770 411338968 469832124 514173710 587290155 617008452 626442832 771260565 783053540 822677936 939664248 1028347420 1174580310 1234016904 1542521130 1566107080 1879328496 2056694840 2349160620 2468033808 3085042260 3132214160 4113389680 4267641793 4698321240 6170084520 8535283586 9396642480 12340169040 12802925379 17070567172 21338208965 25605850758 34141134344 42676417930 51211701516 64014626895 68282268688 85352835860 102423403032 128029253790 170705671720 204846806064 256058507580 341411343440 512117015160 1024234030320