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3105136944 = 2434713113233
BaseRepresentation
bin1011100100010100…
…1010000100110000
322000101212022010000
42321011022010300
522324403340234
61232041510000
7136643141250
oct27105120460
98011768100
103105136944
111353850388
12727aa2300
133a6406250
14216573960
15132910899
hexb914a130

3105136944 has 400 divisors, whose sum is σ = 11206907712. Its totient is φ = 808206336.

The previous prime is 3105136943. The next prime is 3105137047. The reversal of 3105136944 is 4496315013.

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

It is a junction number, because it is equal to n+sod(n) for n = 3105136899 and 3105136908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105136943) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13326652 + ... + 13326884.

Almost surely, 23105136944 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 3105136944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603453856).

3105136944 is an abundant number, since it is smaller than the sum of its proper divisors (8101770768).

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

3105136944 is a wasteful number, since it uses less digits than its factorization.

3105136944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3105136944 is about 55723.7556523248. The cubic root of 3105136944 is about 1458.9046867109.

The spelling of 3105136944 in words is "three billion, one hundred five million, one hundred thirty-six thousand, nine hundred forty-four".