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313695720 = 233351322343
BaseRepresentation
bin10010101100101…
…001110111101000
3210212021101122000
4102230221313220
51120301230340
651043331000
710526240532
oct2254516750
9725241560
10313695720
11151089268
1289080a60
134ccb4890
142d93a852
151c816d30
hex12b29de8

313695720 has 128 divisors (see below), whose sum is σ = 1126137600. Its totient is φ = 77213952.

The previous prime is 313695703. The next prime is 313695749. The reversal of 313695720 is 27596313.

313695720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2869 + ... + 25211.

It is an arithmetic number, because the mean of its divisors is an integer number (8797950).

Almost surely, 2313695720 is an apocalyptic number.

313695720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313695720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563068800).

313695720 is an abundant number, since it is smaller than the sum of its proper divisors (812441880).

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

313695720 is a wasteful number, since it uses less digits than its factorization.

313695720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22376 (or 22366 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 313695720 is about 17711.4573087592. The cubic root of 313695720 is about 679.4688181628.

The spelling of 313695720 in words is "three hundred thirteen million, six hundred ninety-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 22343 44686 67029 89372 111715 134058 178744 201087 223430 268116 290459 335145 402174 446860 536232 580918 603261 670290 804348 871377 893720 1005435 1161836 1206522 1340580 1452295 1608696 1742754 2010870 2323672 2413044 2614131 2681160 2904590 3016305 3485508 4021740 4356885 4826088 5228262 5809180 6032610 6971016 7842393 8043480 8713770 10456524 11618360 12065220 13070655 15684786 17427540 20913048 24130440 26141310 31369572 34855080 39211965 52282620 62739144 78423930 104565240 156847860 313695720