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315343872 = 2103234217
BaseRepresentation
bin10010110010111…
…100010000000000
3210222101010110200
4102302330100000
51121212000442
651142525200
710546243614
oct2262742000
9728333420
10315343872
11152004578
1289736800
1350440b0c
142dc49344
151ca4034c
hex12cbc400

315343872 has 66 divisors (see below), whose sum is σ = 910575198. Its totient is φ = 105111552.

The previous prime is 315343841. The next prime is 315343877. The reversal of 315343872 is 278343513.

315343872 is a `hidden beast` number, since 3 + 153 + 438 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 312016896 + 3326976 = 17664^2 + 1824^2 .

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

It is not an unprimeable number, because it can be changed into a prime (315343877) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7893 + ... + 26324.

Almost surely, 2315343872 is an apocalyptic number.

315343872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

315343872 is an abundant number, since it is smaller than the sum of its proper divisors (595231326).

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

315343872 is a wasteful number, since it uses less digits than its factorization.

315343872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34243 (or 34222 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 315343872 is about 17757.9242030143. The cubic root of 315343872 is about 680.6567127470.

The spelling of 315343872 in words is "three hundred fifteen million, three hundred forty-three thousand, eight hundred seventy-two".

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 1024 1152 1536 2304 3072 4608 9216 34217 68434 102651 136868 205302 273736 307953 410604 547472 615906 821208 1094944 1231812 1642416 2189888 2463624 3284832 4379776 4927248 6569664 8759552 9854496 13139328 17519104 19708992 26278656 35038208 39417984 52557312 78835968 105114624 157671936 315343872