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34002166452 = 223191372634139
BaseRepresentation
bin11111101010101011…
…111110001010110100
310020202200002000122020
4133222223332022310
51024114023311302
623342000233140
72312414434422
oct375253761264
9106680060566
1034002166452
1113469377a11
12670b30b7b0
13328b594927
141907ba4112
15d4017aebc
hex7eaafe2b4

34002166452 has 96 divisors (see below), whose sum is σ = 84463948800. Its totient is φ = 10616055552.

The previous prime is 34002166421. The next prime is 34002166469. The reversal of 34002166452 is 25466120043.

It is a super-2 number, since 2×340021664522 (a number of 22 digits) contains 22 as substring.

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, 8212999 + ... + 8217137.

It is an arithmetic number, because the mean of its divisors is an integer number (879832800).

Almost surely, 234002166452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34002166452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42231974400).

34002166452 is an abundant number, since it is smaller than the sum of its proper divisors (50461782348).

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

34002166452 is a wasteful number, since it uses less digits than its factorization.

34002166452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 34002166452 its reverse (25466120043), we get a palindrome (59468286495).

The spelling of 34002166452 in words is "thirty-four billion, two million, one hundred sixty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 263 274 411 526 548 789 822 1052 1578 1644 2603 3156 4139 4997 5206 7809 8278 9994 10412 12417 14991 15618 16556 19988 24834 29982 31236 36031 49668 59964 72062 78641 108093 144124 157282 216186 235923 314564 432372 471846 567043 684589 943692 1088557 1134086 1369178 1701129 2053767 2177114 2268172 2738356 3265671 3402258 4107534 4354228 6531342 6804516 8215068 10773817 13062684 20682583 21547634 32321451 41365166 43095268 62047749 64642902 82730332 124095498 129285804 149132309 248190996 298264618 447396927 596529236 894793854 1789587708 2833513871 5667027742 8500541613 11334055484 17001083226 34002166452