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312314440 = 23573106957
BaseRepresentation
bin10010100111011…
…000101001001000
3210202200012212111
4102213120221020
51114423030230
650553552104
710511425504
oct2247305110
9722605774
10312314440
11150325509
1288715634
134c91cc59
142d69b304
151c64292a
hex129d8a48

312314440 has 32 divisors (see below), whose sum is σ = 712340280. Its totient is φ = 123213312.

The previous prime is 312314411. The next prime is 312314459. The reversal of 312314440 is 44413213.

It can be written as a sum of positive squares in 4 ways, for example, as 200335716 + 111978724 = 14154^2 + 10582^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50559 + ... + 56398.

Almost surely, 2312314440 is an apocalyptic number.

It is an amenable number.

312314440 is an abundant number, since it is smaller than the sum of its proper divisors (400025840).

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

312314440 is a wasteful number, since it uses less digits than its factorization.

312314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107041 (or 107037 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 312314440 is about 17672.4203209408. The cubic root of 312314440 is about 678.4700609325.

Adding to 312314440 its reverse (44413213), we get a palindrome (356727653).

The spelling of 312314440 in words is "three hundred twelve million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 106957 213914 427828 534785 855656 1069570 2139140 4278280 7807861 15615722 31231444 39039305 62462888 78078610 156157220 312314440