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313320720 = 243523311831
BaseRepresentation
bin10010101011001…
…110010100010000
3210211120100020010
4102223032110100
51120202230340
651031314520
710523116326
oct2253162420
9724510203
10313320720
11150952549
1288b1ba40
134cbb2c9b
142d87dd16
151c790b80
hex12ace510

313320720 has 160 divisors (see below), whose sum is σ = 1046790144. Its totient is φ = 77299200.

The previous prime is 313320713. The next prime is 313320797. The reversal of 313320720 is 27023313.

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, 170205 + ... + 172035.

Almost surely, 2313320720 is an apocalyptic number.

313320720 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 313320720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523395072).

313320720 is an abundant number, since it is smaller than the sum of its proper divisors (733469424).

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

313320720 is a wasteful number, since it uses less digits than its factorization.

313320720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 313320720 is about 17700.8677753380. The cubic root of 313320720 is about 679.1979586537.

The spelling of 313320720 in words is "three hundred thirteen million, three hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 920 930 1104 1240 1380 1426 1488 1831 1840 1860 2139 2480 2760 2852 3565 3662 3720 4278 5493 5520 5704 7130 7324 7440 8556 9155 10695 10986 11408 14260 14648 17112 18310 21390 21972 27465 28520 29296 34224 36620 42113 42780 43944 54930 56761 57040 73240 84226 85560 87888 109860 113522 126339 146480 168452 170283 171120 210565 219720 227044 252678 283805 336904 340566 421130 439440 454088 505356 567610 631695 673808 681132 842260 851415 908176 1010712 1135220 1263390 1305503 1362264 1684520 1702830 2021424 2270440 2526780 2611006 2724528 3369040 3405660 3916509 4540880 5053560 5222012 6527515 6811320 7833018 10107120 10444024 13055030 13622640 15666036 19582545 20888048 26110060 31332072 39165090 52220120 62664144 78330180 104440240 156660360 313320720