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313734352 = 24233072777
BaseRepresentation
bin10010101100110…
…011010011010000
3210212100100121211
4102230303103100
51120303444402
651044225504
710526461261
oct2254632320
9725310554
10313734352
11151105298
128909b294
134ccc9339
142d94a968
151c8234d7
hex12b334d0

313734352 has 40 divisors (see below), whose sum is σ = 636584256. Its totient is φ = 149504256.

The previous prime is 313734349. The next prime is 313734367. The reversal of 313734352 is 253437313.

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 7 ways as a sum of consecutive naturals, for example, 111588 + ... + 114364.

Almost surely, 2313734352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313734352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318292128).

313734352 is an abundant number, since it is smaller than the sum of its proper divisors (322849904).

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

313734352 is a wasteful number, since it uses less digits than its factorization.

313734352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3109 counting only the distinct ones).

The product of its digits is 22680, while the sum is 31.

The square root of 313734352 is about 17712.5478686721. The cubic root of 313734352 is about 679.4967094815.

The spelling of 313734352 in words is "three hundred thirteen million, seven hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 92 184 307 368 614 1228 2456 2777 4912 5554 7061 11108 14122 22216 28244 44432 56488 63871 112976 127742 255484 510968 852539 1021936 1705078 3410156 6820312 13640624 19608397 39216794 78433588 156867176 313734352