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315419312 = 24132952291
BaseRepresentation
bin10010110011001…
…110101010110000
3210222111221221202
4102303032222300
51121221404222
651144310332
710550006555
oct2263165260
9728457852
10315419312
1115205621a
12897723a8
1350469260
142dc68a2c
151ca57892
hex12cceab0

315419312 has 40 divisors (see below), whose sum is σ = 680841840. Its totient is φ = 140555520.

The previous prime is 315419297. The next prime is 315419329. The reversal of 315419312 is 213914513.

It is a super-3 number, since 3×3154193123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20114 + ... + 32177.

It is an arithmetic number, because the mean of its divisors is an integer number (17021046).

Almost surely, 2315419312 is an apocalyptic number.

It is an amenable number.

315419312 is an abundant number, since it is smaller than the sum of its proper divisors (365422528).

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

315419312 is a wasteful number, since it uses less digits than its factorization.

315419312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52341 (or 52335 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 315419312 is about 17760.0481981328. The cubic root of 315419312 is about 680.7109864598.

The spelling of 315419312 in words is "three hundred fifteen million, four hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 52291 104582 209164 418328 679783 836656 1359566 1516439 2719132 3032878 5438264 6065756 10876528 12131512 19713707 24263024 39427414 78854828 157709656 315419312