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315421458 = 231129223739
BaseRepresentation
bin10010110011001…
…111001100010010
3210222112001220020
4102303033030102
51121221441313
651144324310
710550016042
oct2263171422
9728461806
10315421458
111520578a0
1289773696
135046a221
142dc69722
151ca58323
hex12ccf312

315421458 has 64 divisors (see below), whose sum is σ = 716083200. Its totient is φ = 91748160.

The previous prime is 315421439. The next prime is 315421459. The reversal of 315421458 is 854124513.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (315421459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426453 + ... + 427191.

It is an arithmetic number, because the mean of its divisors is an integer number (11188800).

Almost surely, 2315421458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315421458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358041600).

315421458 is an abundant number, since it is smaller than the sum of its proper divisors (400661742).

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

315421458 is a wasteful number, since it uses less digits than its factorization.

315421458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007.

The product of its digits is 19200, while the sum is 33.

The square root of 315421458 is about 17760.1086145327. The cubic root of 315421458 is about 680.7125302275.

The spelling of 315421458 in words is "three hundred fifteen million, four hundred twenty-one thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 223 319 446 638 669 739 957 1338 1478 1914 2217 2453 4434 4906 6467 7359 8129 12934 14718 16258 19401 21431 24387 38802 42862 48774 64293 71137 128586 142274 164797 213411 235741 329594 426822 471482 494391 707223 988782 1414446 1812767 3625534 4779113 5438301 9558226 10876602 14337339 28674678 52570243 105140486 157710729 315421458