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34304412096 = 263259556271
BaseRepresentation
bin11111111100101100…
…111100100111000000
310021112201210200201100
4133330230330213000
51030223412141341
623431554334400
72323044456153
oct377454744700
9107481720640
1034304412096
1113603a455a9
12679458a400
13330909a8c6
141935d9dc9a
15d5b9803b6
hex7fcb3c9c0

34304412096 has 42 divisors (see below), whose sum is σ = 98327405072. Its totient is φ = 11434803840.

The previous prime is 34304412059. The next prime is 34304412133. The reversal of 34304412096 is 69021440343.

It is a happy number.

34304412096 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 441 + 209 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (34304412059) and next prime (34304412133).

It is a super-2 number, since 2×343044120962 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34304412096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29777560 + ... + 29778711.

Almost surely, 234304412096 is an apocalyptic number.

34304412096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34304412096 is an abundant number, since it is smaller than the sum of its proper divisors (64022992976).

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

34304412096 is a wasteful number, since it uses less digits than its factorization.

34304412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59556289 (or 59556276 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34304412096 in words is "thirty-four billion, three hundred four million, four hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 59556271 119112542 178668813 238225084 357337626 476450168 536006439 714675252 952900336 1072012878 1429350504 1905800672 2144025756 2858701008 3811601344 4288051512 5717402016 8576103024 11434804032 17152206048 34304412096