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314322752 = 266180513
BaseRepresentation
bin10010101111000…
…010111101000000
3210220110020202102
4102233002331000
51120431312002
651105005532
710534461602
oct2257027500
9726406672
10314322752
11151477377
12893238a8
13501740c3
142da61172
151c8dca02
hex12bc2f40

314322752 has 28 divisors (see below), whose sum is σ = 633967236. Its totient is φ = 154583040.

The previous prime is 314322739. The next prime is 314322763. The reversal of 314322752 is 257223413.

It can be written as a sum of positive squares in 2 ways, for example, as 5125696 + 309197056 = 2264^2 + 17584^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 36353 + ... + 44160.

It is an arithmetic number, because the mean of its divisors is an integer number (22641687).

Almost surely, 2314322752 is an apocalyptic number.

314322752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314322752 is an abundant number, since it is smaller than the sum of its proper divisors (319644484).

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

314322752 is an equidigital number, since it uses as much as digits as its factorization.

314322752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80586 (or 80576 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 314322752 is about 17729.1497822090. The cubic root of 314322752 is about 679.9212365520.

The spelling of 314322752 in words is "three hundred fourteen million, three hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 80513 161026 322052 644104 1288208 2576416 4911293 5152832 9822586 19645172 39290344 78580688 157161376 314322752