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313843920 = 243513100591
BaseRepresentation
bin10010101101001…
…110000011010000
3210212112220220220
4102231032003100
51120321001140
651050433040
710530425565
oct2255160320
9725486826
10313843920
1115117a645
1289132780
1350037180
142d97886c
151c845bd0
hex12b4e0d0

313843920 has 80 divisors (see below), whose sum is σ = 1047766272. Its totient is φ = 77253120.

The previous prime is 313843913. The next prime is 313843961. The reversal of 313843920 is 29348313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3138439202 = 196996012241932800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47176 + ... + 53415.

Almost surely, 2313843920 is an apocalyptic number.

313843920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313843920 is an abundant number, since it is smaller than the sum of its proper divisors (733922352).

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

313843920 is a wasteful number, since it uses less digits than its factorization.

313843920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100620 (or 100614 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 313843920 is about 17715.6405472678. The cubic root of 313843920 is about 679.5758023293.

The spelling of 313843920 in words is "three hundred thirteen million, eight hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 100591 201182 301773 402364 502955 603546 804728 1005910 1207092 1307683 1508865 1609456 2011820 2414184 2615366 3017730 3923049 4023640 4828368 5230732 6035460 6538415 7846098 8047280 10461464 12070920 13076830 15692196 19615245 20922928 24141840 26153660 31384392 39230490 52307320 62768784 78460980 104614640 156921960 313843920