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3105905376 = 253721923159
BaseRepresentation
bin1011100100100000…
…0101101011100000
322000110022100012110
42321020011223200
522330102433001
61232110155320
7136652521500
oct27110055340
98013270173
103105905376
111354225752
127281b2b40
133a6614c42
142166d3a00
15132a133d6
hexb9205ae0

3105905376 has 432 divisors, whose sum is σ = 10507553280. Its totient is φ = 799787520.

The previous prime is 3105905347. The next prime is 3105905459. The reversal of 3105905376 is 6735095013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52642435 + ... + 52642493.

It is an arithmetic number, because the mean of its divisors is an integer number (24323040).

Almost surely, 23105905376 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 3105905376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253776640).

3105905376 is an abundant number, since it is smaller than the sum of its proper divisors (7401647904).

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

3105905376 is a wasteful number, since it uses less digits than its factorization.

3105905376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The square root of 3105905376 is about 55730.6502384460. The cubic root of 3105905376 is about 1459.0250224215.

The spelling of 3105905376 in words is "three billion, one hundred five million, nine hundred five thousand, three hundred seventy-six".