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232024331304 = 23334797193119
BaseRepresentation
bin1101100000010110111…
…0100101010000101000
3211011220011201021101000
43120011232211100220
512300141212100204
6254331314355000
722522531163253
oct3300556452050
9734804637330
10232024331304
118a445760307
1238b7458ba60
1318b58bca33c
14b33131a09a
15607eb6a039
hex3605ba5428

232024331304 has 128 divisors (see below), whose sum is σ = 646963200000. Its totient is φ = 77047925184.

The previous prime is 232024331291. The next prime is 232024331311. The reversal of 232024331304 is 403133420232.

232024331304 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 24 + 331 + 304 = 666.

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

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, 74389057 + ... + 74392175.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400000).

Almost surely, 2232024331304 is an apocalyptic number.

232024331304 is a gapful number since it is divisible by the number (24) 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 232024331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323481600000).

232024331304 is an abundant number, since it is smaller than the sum of its proper divisors (414938868696).

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

232024331304 is a wasteful number, since it uses less digits than its factorization.

232024331304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 232024331304 its reverse (403133420232), we get a palindrome (635157751536).

The spelling of 232024331304 in words is "two hundred thirty-two billion, twenty-four million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 479 719 958 1437 1438 1916 2157 2874 2876 3119 3832 4311 4314 5748 5752 6238 6471 8622 8628 9357 11496 12476 12933 12942 17244 17256 18714 19413 24952 25866 25884 28071 34488 37428 38826 51732 51768 56142 74856 77652 84213 103464 112284 155304 168426 224568 336852 344401 673704 688802 1033203 1377604 1494001 2066406 2242561 2755208 2988002 3099609 4132812 4482003 4485122 5976004 6199218 6727683 8265624 8964006 8970244 9298827 11952008 12398436 13446009 13455366 17928012 17940488 18597654 20183049 24796872 26892018 26910732 35856024 37195308 40338027 40366098 53784036 53821464 60549147 74390616 80676054 80732196 107568072 121098294 161352108 161464392 242196588 322704216 484393176 1074186719 2148373438 3222560157 4296746876 6445120314 8593493752 9667680471 12890240628 19335360942 25780481256 29003041413 38670721884 58006082826 77341443768 116012165652 232024331304