Search a number
-
+
315385344 = 293268443
BaseRepresentation
bin10010110011000…
…110011000000000
3210222110020100200
4102303012120000
51121214312334
651143445200
710546505541
oct2263063000
9728406320
10315385344
1115203274a
1289756800
1350456961
142dc5a4c8
151ca4c799
hex12cc6600

315385344 has 60 divisors (see below), whose sum is σ = 910236756. Its totient is φ = 105126912.

The previous prime is 315385303. The next prime is 315385363. The reversal of 315385344 is 443583513.

315385344 is a `hidden beast` number, since 31 + 538 + 53 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 315385299 and 315385308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29614 + ... + 38829.

Almost surely, 2315385344 is an apocalyptic number.

It is an amenable number.

315385344 is an abundant number, since it is smaller than the sum of its proper divisors (594851412).

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

315385344 is an equidigital number, since it uses as much as digits as its factorization.

315385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68467 (or 68448 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 315385344 is about 17759.0918686739. The cubic root of 315385344 is about 680.6865499716.

The spelling of 315385344 in words is "three hundred fifteen million, three hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 68443 136886 205329 273772 410658 547544 615987 821316 1095088 1231974 1642632 2190176 2463948 3285264 4380352 4927896 6570528 8760704 9855792 13141056 17521408 19711584 26282112 35042816 39423168 52564224 78846336 105128448 157692672 315385344