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314431312 = 24131511689
BaseRepresentation
bin10010101111011…
…101011101010000
3210220122202200011
4102233131131100
51120443300222
651111204304
710535423236
oct2257353520
9726582604
10314431312
11151540998
1289376694
13501b1640
142da8c956
151c90ec77
hex12bdd750

314431312 has 20 divisors (see below), whose sum is σ = 656073460. Its totient is φ = 145122048.

The previous prime is 314431289. The next prime is 314431333. The reversal of 314431312 is 213134413.

It can be written as a sum of positive squares in 2 ways, for example, as 73685056 + 240746256 = 8584^2 + 15516^2 .

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, 755637 + ... + 756052.

It is an arithmetic number, because the mean of its divisors is an integer number (32803673).

Almost surely, 2314431312 is an apocalyptic number.

It is an amenable number.

314431312 is an abundant number, since it is smaller than the sum of its proper divisors (341642148).

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

314431312 is a wasteful number, since it uses less digits than its factorization.

314431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511710 (or 1511704 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 314431312 is about 17732.2111424379. The cubic root of 314431312 is about 679.9995040365. Note that the first 3 decimals are identical.

Adding to 314431312 its reverse (213134413), we get a palindrome (527565725).

The spelling of 314431312 in words is "three hundred fourteen million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 1511689 3023378 6046756 12093512 19651957 24187024 39303914 78607828 157215656 314431312