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315640332 = 223274912551
BaseRepresentation
bin10010110100000…
…100101000001100
3210222221012010200
4102310010220030
51121300442312
651153133500
710551620130
oct2264045014
9728835120
10315640332
11152197287
128985a290
1350515a37
142dcc53c0
151ca9d0dc
hex12d04a0c

315640332 has 72 divisors (see below), whose sum is σ = 914065152. Its totient is φ = 89964000.

The previous prime is 315640279. The next prime is 315640363. The reversal of 315640332 is 233046513.

It is a happy number.

315640332 is a `hidden beast` number, since 3 + 15 + 640 + 3 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 315640296 and 315640305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122457 + ... + 125007.

Almost surely, 2315640332 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 315640332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457032576).

315640332 is an abundant number, since it is smaller than the sum of its proper divisors (598424820).

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

315640332 is a wasteful number, since it uses less digits than its factorization.

315640332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 315640332 is about 17766.2695015020. The cubic root of 315640332 is about 680.8699448252.

Adding to 315640332 its reverse (233046513), we get a palindrome (548686845).

The spelling of 315640332 in words is "three hundred fifteen million, six hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 491 982 1473 1964 2551 2946 3437 4419 5102 5892 6874 7653 8838 10204 10311 13748 15306 17676 17857 20622 22959 30612 30933 35714 41244 45918 53571 61866 71428 91836 107142 123732 160713 214284 321426 642852 1252541 2505082 3757623 5010164 7515246 8767787 11272869 15030492 17535574 22545738 26303361 35071148 45091476 52606722 78910083 105213444 157820166 315640332