Search a number
-
+
315367074 = 233114312347
BaseRepresentation
bin10010110011000…
…001111010100010
3210222102022022000
4102303001322202
51121213221244
651143224430
710546401351
oct2263017242
9728368260
10315367074
1115201aa50
1289748116
135044b549
142dc53998
151ca47169
hex12cc1ea2

315367074 has 64 divisors (see below), whose sum is σ = 782369280. Its totient is φ = 93335760.

The previous prime is 315367069. The next prime is 315367103. The reversal of 315367074 is 470763513.

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 31 ways as a sum of consecutive naturals, for example, 19369 + ... + 31715.

It is an arithmetic number, because the mean of its divisors is an integer number (12224520).

Almost surely, 2315367074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315367074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391184640).

315367074 is an abundant number, since it is smaller than the sum of its proper divisors (467002206).

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

315367074 is a wasteful number, since it uses less digits than its factorization.

315367074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 12406 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 315367074 is about 17758.5774768138. The cubic root of 315367074 is about 680.6734058569.

The spelling of 315367074 in words is "three hundred fifteen million, three hundred sixty-seven thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 774 946 1161 1419 2322 2838 4257 8514 12347 12771 24694 25542 37041 74082 111123 135817 222246 271634 333369 407451 530921 666738 814902 1061842 1222353 1592763 2444706 3185526 3667059 4778289 5840131 7334118 9556578 11680262 14334867 17520393 28669734 35040786 52561179 105122358 157683537 315367074