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3074632704 = 2103211132333
BaseRepresentation
bin1011011101000011…
…0010110000000000
321221021110112011100
42313100302300000
522244101221304
61225032014400
7136122642513
oct26720626000
97837415140
103074632704
111338606070
12719831400
1339ccb58c0
142124b2d7a
1512edd7439
hexb7432c00

3074632704 has 264 divisors, whose sum is σ = 10434492432. Its totient is φ = 859668480.

The previous prime is 3074632703. The next prime is 3074632727. The reversal of 3074632704 is 4072364703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is not an unprimeable number, because it can be changed into a prime (3074632703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1316722 + ... + 1319054.

Almost surely, 23074632704 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 3074632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217246216).

3074632704 is an abundant number, since it is smaller than the sum of its proper divisors (7359859728).

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

3074632704 is a wasteful number, since it uses less digits than its factorization.

3074632704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3074632704 is about 55449.3706366447. The cubic root of 3074632704 is about 1454.1116283188. Note that the first 3 decimals are identical.

The spelling of 3074632704 in words is "three billion, seventy-four million, six hundred thirty-two thousand, seven hundred four".