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312270088 = 23132230969
BaseRepresentation
bin10010100111001…
…101110100001000
3210202120222000211
4102213031310020
51114420120323
650553010504
710511152264
oct2247156410
9722528024
10312270088
111502a5159
12886b3a34
134c905a00
142d6890a4
151c63470d
hex129cdd08

312270088 has 24 divisors (see below), whose sum is σ = 634012650. Its totient is φ = 144124032.

The previous prime is 312270031. The next prime is 312270097. The reversal of 312270088 is 880072213.

It can be written as a sum of positive squares in 3 ways, for example, as 145395364 + 166874724 = 12058^2 + 12918^2 .

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, 114133 + ... + 116836.

Almost surely, 2312270088 is an apocalyptic number.

It is an amenable number.

312270088 is an abundant number, since it is smaller than the sum of its proper divisors (321742562).

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

312270088 is a wasteful number, since it uses less digits than its factorization.

312270088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231001 (or 230984 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 312270088 is about 17671.1654397779. The cubic root of 312270088 is about 678.4379427370.

It can be divided in two parts, 312 and 270088, that added together give a square (270400 = 5202).

The spelling of 312270088 in words is "three hundred twelve million, two hundred seventy thousand, eighty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 230969 461938 923876 1847752 3002597 6005194 12010388 24020776 39033761 78067522 156135044 312270088