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3097704960 = 29325719207
BaseRepresentation
bin1011100010100011…
…0011101000000000
321222212212201100100
42320220303220000
522321003024320
61231214322400
7136523025540
oct27050635000
97885781310
103097704960
11134a634649
127254b9400
133a4a0351c
1421559b320
15131e43790
hexb8a33a00

3097704960 has 240 divisors, whose sum is σ = 12261465216. Its totient is φ = 708009984.

The previous prime is 3097704959. The next prime is 3097704983. The reversal of 3097704960 is 694077903.

3097704960 is a `hidden beast` number, since 3 + 0 + 97 + 70 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 151677 + ... + 170883.

Almost surely, 23097704960 is an apocalyptic number.

3097704960 is a gapful number since it is divisible by the number (30) 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 3097704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130732608).

3097704960 is an abundant number, since it is smaller than the sum of its proper divisors (9163760256).

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

3097704960 is a wasteful number, since it uses less digits than its factorization.

3097704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19243 (or 19224 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3097704960 is about 55657.0297446783. The cubic root of 3097704960 is about 1457.7398193346.

The spelling of 3097704960 in words is "three billion, ninety-seven million, seven hundred four thousand, nine hundred sixty".