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307113696 = 25321066367
BaseRepresentation
bin10010010011100…
…010111011100000
3210101212222210100
4102103202323200
51112110114241
650250302400
710416265131
oct2223427340
9711788710
10307113696
111483a307a
1286a27a00
134b81b9a6
142cb05c88
151be669b6
hex124e2ee0

307113696 has 36 divisors (see below), whose sum is σ = 873355392. Its totient is φ = 102371136.

The previous prime is 307113671. The next prime is 307113707. The reversal of 307113696 is 696311703.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 307113696.

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 5 ways as a sum of consecutive naturals, for example, 532896 + ... + 533471.

It is an arithmetic number, because the mean of its divisors is an integer number (24259872).

Almost surely, 2307113696 is an apocalyptic number.

307113696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

307113696 is an abundant number, since it is smaller than the sum of its proper divisors (566241696).

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

307113696 is a wasteful number, since it uses less digits than its factorization.

307113696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066383 (or 1066372 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 307113696 is about 17524.6596543271. The cubic root of 307113696 is about 674.6829391594.

It can be divided in two parts, 307 and 113696, that added together give a triangular number (114003 = T477).

The spelling of 307113696 in words is "three hundred seven million, one hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1066367 2132734 3199101 4265468 6398202 8530936 9597303 12796404 17061872 19194606 25592808 34123744 38389212 51185616 76778424 102371232 153556848 307113696