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315734292 = 22326122357
BaseRepresentation
bin10010110100011…
…011100100010100
3211000002222000200
4102310123210110
51121311444132
651155140500
710552461066
oct2264334424
9730088020
10315734292
11152250935
12898a4730
1350549733
142dd0b736
151cabad7c
hex12d1b914

315734292 has 54 divisors (see below), whose sum is σ = 811748574. Its totient is φ = 103475520.

The previous prime is 315734261. The next prime is 315734329. The reversal of 315734292 is 292437513.

It can be written as a sum of positive squares in 3 ways, for example, as 44275716 + 271458576 = 6654^2 + 16476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 132778 + ... + 135134.

It is an arithmetic number, because the mean of its divisors is an integer number (15032381).

Almost surely, 2315734292 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 315734292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405874287).

315734292 is an abundant number, since it is smaller than the sum of its proper divisors (496014282).

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

315734292 is a wasteful number, since it uses less digits than its factorization.

315734292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2423 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 315734292 is about 17768.9136415258. The cubic root of 315734292 is about 680.9374987112.

It can be divided in two parts, 31573429 and 2, that added together give a triangular number (31573431 = T7946).

The spelling of 315734292 in words is "three hundred fifteen million, seven hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 2357 3721 4714 7071 7442 9428 11163 14142 14884 21213 22326 28284 33489 42426 44652 66978 84852 133956 143777 287554 431331 575108 862662 1293993 1725324 2587986 5175972 8770397 17540794 26311191 35081588 52622382 78933573 105244764 157867146 315734292