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3418512804 = 22327130110427
BaseRepresentation
bin1100101111000010…
…0101110110100100
322211020112102222100
43023300211312210
524000114402204
61323114332100
7150466610430
oct31360456644
98736472870
103418512804
1114a47302a3
127b4a2a030
13426308355
142460299c0
151501b2a39
hexcbc25da4

3418512804 has 72 divisors (see below), whose sum is σ = 9884242368. Its totient is φ = 975873600.

The previous prime is 3418512749. The next prime is 3418512821. The reversal of 3418512804 is 4082158143.

3418512804 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34185128042 = 23372459582223884832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322639 + ... + 333065.

It is an arithmetic number, because the mean of its divisors is an integer number (137281144).

Almost surely, 23418512804 is an apocalyptic number.

It is an amenable number.

3418512804 is an abundant number, since it is smaller than the sum of its proper divisors (6465729564).

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

3418512804 is a wasteful number, since it uses less digits than its factorization.

3418512804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11745 (or 11740 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3418512804 is about 58468.0494287265. The cubic root of 3418512804 is about 1506.4188345288.

The spelling of 3418512804 in words is "three billion, four hundred eighteen million, five hundred twelve thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1301 2602 3903 5204 7806 9107 10427 11709 15612 18214 20854 23418 27321 31281 36428 41708 46836 54642 62562 72989 81963 93843 109284 125124 145978 163926 187686 218967 291956 327852 375372 437934 656901 875868 1313802 2627604 13565527 27131054 40696581 54262108 81393162 94958689 122089743 162786324 189917378 244179486 284876067 379834756 488358972 569752134 854628201 1139504268 1709256402 3418512804