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3104645040 = 243257312641
BaseRepresentation
bin1011100100001101…
…0001111110110000
322000100221022100100
42321003101332300
522324242120130
61232023152400
7136636022160
oct27103217660
98010838310
103104645040
111353544852
127278a5700
133a6293393
142164865a0
15132864c60
hexb90d1fb0

3104645040 has 360 divisors, whose sum is σ = 12331916064. Its totient is φ = 685670400.

The previous prime is 3104645029. The next prime is 3104645069. The reversal of 3104645040 is 405464013.

3104645040 is a `hidden beast` number, since 3 + 10 + 4 + 645 + 0 + 4 + 0 = 666.

3104645040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 3104644995 and 3104645013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4843120 + ... + 4843760.

Almost surely, 23104645040 is an apocalyptic number.

3104645040 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 3104645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165958032).

3104645040 is an abundant number, since it is smaller than the sum of its proper divisors (9227271024).

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

3104645040 is a wasteful number, since it uses less digits than its factorization.

3104645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3104645040 is about 55719.3417046540. The cubic root of 3104645040 is about 1458.8276445962.

The spelling of 3104645040 in words is "three billion, one hundred four million, six hundred forty-five thousand, forty".