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315145024 = 2641831447
BaseRepresentation
bin10010110010001…
…011101101000000
3210222000000200221
4102302023231000
51121134120044
651134352424
710544455105
oct2262135500
9728000627
10315145024
11151989137
128965b714
13503a145c
142dbd6aac
151ca01484
hex12c8bb40

315145024 has 56 divisors (see below), whose sum is σ = 648785088. Its totient is φ = 151772160.

The previous prime is 315145013. The next prime is 315145027. The reversal of 315145024 is 420541513.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 315145024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315145027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217069 + ... + 218515.

It is an arithmetic number, because the mean of its divisors is an integer number (11585448).

Almost surely, 2315145024 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 315145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324392544).

315145024 is an abundant number, since it is smaller than the sum of its proper divisors (333640064).

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

315145024 is a wasteful number, since it uses less digits than its factorization.

315145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 315145024 is about 17752.3244675169. The cubic root of 315145024 is about 680.5136142685.

Adding to 315145024 its reverse (420541513), we get a palindrome (735686537).

The spelling of 315145024 in words is "three hundred fifteen million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 83 164 166 328 332 656 664 1312 1328 1447 2624 2656 2894 3403 5312 5788 6806 11576 13612 23152 27224 46304 54448 59327 92608 108896 118654 120101 217792 237308 240202 474616 480404 949232 960808 1898464 1921616 3796928 3843232 4924141 7686464 9848282 19696564 39393128 78786256 157572512 315145024