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309370112 = 281378821
BaseRepresentation
bin10010011100001…
…001110100000000
3210120010122000022
4102130021310000
51113144320422
650410513012
710444413452
oct2234116400
9716118008
10309370112
111496a4387
1287735768
134c12ba4c
142d1322d2
151c260342
hex12709d00

309370112 has 36 divisors (see below), whose sum is σ = 622109796. Its totient is φ = 153538560.

The previous prime is 309370109. The next prime is 309370123. The reversal of 309370112 is 211073903.

It can be written as a sum of positive squares in 2 ways, for example, as 188897536 + 120472576 = 13744^2 + 10976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30662 + ... + 39482.

Almost surely, 2309370112 is an apocalyptic number.

309370112 is a gapful number since it is divisible by the number (32) 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 309370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311054898).

309370112 is an abundant number, since it is smaller than the sum of its proper divisors (312739684).

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

309370112 is an equidigital number, since it uses as much as digits as its factorization.

309370112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 309370112 is about 17588.9201487755. The cubic root of 309370112 is about 676.3312452912.

The spelling of 309370112 in words is "three hundred nine million, three hundred seventy thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1096 2192 4384 8768 8821 17536 17642 35072 35284 70568 141136 282272 564544 1129088 1208477 2258176 2416954 4833908 9667816 19335632 38671264 77342528 154685056 309370112