Search a number
-
+
304401020490 = 23457101531547
BaseRepresentation
bin1000110110111111011…
…01101111011001001010
31002002201020020000220000
410123133231233121022
514441403130123430
6351501230143430
730664224661020
oct4333755573112
91062636200800
10304401020490
11108106493116
124abb3351b76
132292185b248
1410a39844710
157db8c49e60
hex46dfb6f64a

304401020490 has 160 divisors (see below), whose sum is σ = 944692619904. Its totient is φ = 68888361600.

The previous prime is 304401020437. The next prime is 304401020491. The reversal of 304401020490 is 94020104403.

304401020490 is a `hidden beast` number, since 3 + 0 + 440 + 10 + 204 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (304401020491) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306897 + ... + 838443.

Almost surely, 2304401020490 is an apocalyptic number.

304401020490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304401020490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472346309952).

304401020490 is an abundant number, since it is smaller than the sum of its proper divisors (640291599414).

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

304401020490 is a wasteful number, since it uses less digits than its factorization.

304401020490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531674 (or 531665 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 304401020490 its reverse (94020104403), we get a palindrome (398421124893).

The spelling of 304401020490 in words is "three hundred four billion, four hundred one million, twenty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 101 105 126 135 162 189 202 210 270 303 315 378 405 505 567 606 630 707 810 909 945 1010 1134 1414 1515 1818 1890 2121 2727 2835 3030 3535 4242 4545 5454 5670 6363 7070 8181 9090 10605 12726 13635 16362 19089 21210 27270 31815 38178 40905 57267 63630 81810 95445 114534 190890 286335 531547 572670 1063094 1594641 2657735 3189282 3720829 4783923 5315470 7441658 7973205 9567846 11162487 14351769 15946410 18604145 22324974 23919615 28703538 33487461 37208290 43055307 47839230 53686247 55812435 66974922 71758845 86110614 100462383 107372494 111624870 143517690 161058741 167437305 200924766 215276535 268431235 301387149 322117482 334874610 375803729 430553070 483176223 502311915 536862470 602774298 751607458 805293705 966352446 1004623830 1127411187 1449528669 1506935745 1610587410 1879018645 2254822374 2415881115 2899057338 3013871490 3382233561 3758037290 4348586007 4831762230 5637055935 6764467122 7247643345 8697172014 10146700683 11274111870 14495286690 16911167805 20293401366 21742930035 30440102049 33822335610 43485860070 50733503415 60880204098 101467006830 152200510245 304401020490