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423402320 = 245112947353
BaseRepresentation
bin11001001111001…
…001101101010000
31002111201001210102
4121033021231100
51331342333240
6110002551532
713330601045
oct3117115520
91074631712
10423402320
111a7aaa480
12b99685a8
1369946523
14403371cc
1527287815
hex193c9b50

423402320 has 160 divisors (see below), whose sum is σ = 1137784320. Its totient is φ = 145080320.

The previous prime is 423402313. The next prime is 423402337. The reversal of 423402320 is 23204324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 423402292 and 423402301.

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, 1199264 + ... + 1199616.

It is an arithmetic number, because the mean of its divisors is an integer number (7111152).

Almost surely, 2423402320 is an apocalyptic number.

423402320 is a gapful number since it is divisible by the number (40) 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 423402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568892160).

423402320 is an abundant number, since it is smaller than the sum of its proper divisors (714382000).

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

423402320 is a wasteful number, since it uses less digits than its factorization.

423402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 423402320 is about 20576.7422105638. The cubic root of 423402320 is about 750.9039884872.

Adding to 423402320 its reverse (23204324), we get a palindrome (446606644).

The spelling of 423402320 in words is "four hundred twenty-three million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 47 55 58 80 88 94 110 116 145 176 188 220 232 235 290 319 353 376 440 464 470 517 580 638 706 752 880 940 1034 1160 1276 1363 1412 1595 1765 1880 2068 2320 2552 2585 2726 2824 3190 3530 3760 3883 4136 5104 5170 5452 5648 6380 6815 7060 7766 8272 10237 10340 10904 12760 13630 14120 14993 15532 16591 19415 20474 20680 21808 25520 27260 28240 29986 31064 33182 38830 40948 41360 51185 54520 59972 62128 66364 74965 77660 81896 82955 102370 109040 112607 119944 132728 149930 155320 163792 165910 182501 204740 225214 239888 265456 299860 310640 331820 365002 409480 450428 481139 563035 599720 663640 730004 818960 900856 912505 962278 1126070 1199440 1327280 1460008 1801712 1825010 1924556 2252140 2405695 2920016 3650020 3849112 4504280 4811390 5292529 7300040 7698224 9008560 9622780 10585058 14600080 19245560 21170116 26462645 38491120 42340232 52925290 84680464 105850580 211701160 423402320