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313997640 = 233511237877
BaseRepresentation
bin10010101101110…
…011100101001000
3210212211201210020
4102231303211020
51120340411030
651054020440
710531636005
oct2255634510
9725751706
10313997640
11151275090
12891a7720
135008c128
142d9b88ac
151c876510
hex12b73948

313997640 has 64 divisors (see below), whose sum is σ = 1027632960. Its totient is φ = 76120320.

The previous prime is 313997627. The next prime is 313997641. The reversal of 313997640 is 46799313.

Added to its reverse (46799313) it gives a triangular number (360796953 = T26862).

It is a junction number, because it is equal to n+sod(n) for n = 313997592 and 313997601.

It is not an unprimeable number, because it can be changed into a prime (313997641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117619 + ... + 120258.

It is an arithmetic number, because the mean of its divisors is an integer number (16056765).

Almost surely, 2313997640 is an apocalyptic number.

313997640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313997640 is an abundant number, since it is smaller than the sum of its proper divisors (713635320).

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

313997640 is a wasteful number, since it uses less digits than its factorization.

313997640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237902 (or 237898 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 313997640 is about 17719.9785552918. The cubic root of 313997640 is about 679.6867357529.

Adding to 313997640 its reverse (46799313), we get a triangular number (360796953 = T26862).

The spelling of 313997640 in words is "three hundred thirteen million, nine hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 237877 475754 713631 951508 1189385 1427262 1903016 2378770 2616647 2854524 3568155 4757540 5233294 5709048 7136310 7849941 9515080 10466588 13083235 14272620 15699882 20933176 26166470 28545240 31399764 39249705 52332940 62799528 78499410 104665880 156998820 313997640