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313525344 = 25311476317
BaseRepresentation
bin10010101100000…
…000010001100000
3210211221201220210
4102230000101200
51120230302334
651035534120
710524631026
oct2254002140
9724851823
10313525344
11150a82260
1288bba340
134cc55172
142d8d4716
151c7d15e9
hex12b00460

313525344 has 96 divisors (see below), whose sum is σ = 917070336. Its totient is φ = 92971520.

The previous prime is 313525343. The next prime is 313525367. The reversal of 313525344 is 443525313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313525343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46474 + ... + 52790.

It is an arithmetic number, because the mean of its divisors is an integer number (9552816).

Almost surely, 2313525344 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 313525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458535168).

313525344 is an abundant number, since it is smaller than the sum of its proper divisors (603544992).

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

313525344 is a wasteful number, since it uses less digits than its factorization.

313525344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6380 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 313525344 is about 17706.6468875392. The cubic root of 313525344 is about 679.3457837097.

The spelling of 313525344 in words is "three hundred thirteen million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 6317 8272 12408 12634 16544 18951 24816 25268 37902 49632 50536 69487 75804 101072 138974 151608 202144 208461 277948 296899 303216 416922 555896 593798 606432 833844 890697 1111792 1187596 1667688 1781394 2223584 2375192 3265889 3335376 3562788 4750384 6531778 6670752 7125576 9500768 9797667 13063556 14251152 19595334 26127112 28502304 39190668 52254224 78381336 104508448 156762672 313525344