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312112296 = 23324334893
BaseRepresentation
bin10010100110100…
…111010010101000
3210202021221120200
4102212213102220
51114400043141
650545352200
710506624246
oct2246472250
9722257520
10312112296
111501a7651
1288638660
134c87bc42
142d647796
151c602ab6
hex129a74a8

312112296 has 24 divisors (see below), whose sum is σ = 845304330. Its totient is φ = 104037408.

The previous prime is 312112271. The next prime is 312112327. The reversal of 312112296 is 692211213.

It can be written as a sum of positive squares in only one way, i.e., 158004900 + 154107396 = 12570^2 + 12414^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

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, 2167375 + ... + 2167518.

Almost surely, 2312112296 is an apocalyptic number.

312112296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312112296 is an abundant number, since it is smaller than the sum of its proper divisors (533192034).

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

312112296 is a wasteful number, since it uses less digits than its factorization.

312112296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334905 (or 4334898 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 312112296 is about 17666.7002012260. The cubic root of 312112296 is about 678.3236505261.

The spelling of 312112296 in words is "three hundred twelve million, one hundred twelve thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4334893 8669786 13004679 17339572 26009358 34679144 39014037 52018716 78028074 104037432 156056148 312112296