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313372290 = 235711293463
BaseRepresentation
bin10010101011011…
…010111010000010
3210211122221222010
4102223122322002
51120210403130
651032353350
710523422560
oct2253327202
9724587863
10313372290
11150988270
1288b45856
134cc005ba
142d894a30
151c7a10b0
hex12adae82

313372290 has 128 divisors (see below), whose sum is σ = 942907392. Its totient is φ = 64753920.

The previous prime is 313372253. The next prime is 313372321. The reversal of 313372290 is 92273313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676599 + ... + 677061.

It is an arithmetic number, because the mean of its divisors is an integer number (7366464).

Almost surely, 2313372290 is an apocalyptic number.

313372290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313372290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471453696).

313372290 is an abundant number, since it is smaller than the sum of its proper divisors (629535102).

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

313372290 is a wasteful number, since it uses less digits than its factorization.

313372290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 313372290 is about 17702.3244236456. The cubic root of 313372290 is about 679.2352200657.

The spelling of 313372290 in words is "three hundred thirteen million, three hundred seventy-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 293 330 385 462 463 586 770 879 926 1155 1389 1465 1758 2051 2310 2315 2778 2930 3223 3241 4102 4395 4630 5093 6153 6446 6482 6945 8790 9669 9723 10186 10255 12306 13890 15279 16115 16205 19338 19446 20510 22561 25465 30558 30765 32230 32410 35651 45122 48345 48615 50930 61530 67683 71302 76395 96690 97230 106953 112805 135366 135659 152790 178255 213906 225610 271318 338415 356510 406977 534765 676830 678295 813954 949613 1069530 1356590 1492249 1899226 2034885 2848839 2984498 4069770 4476747 4748065 5697678 7461245 8953494 9496130 10445743 14244195 14922490 20891486 22383735 28488390 31337229 44767470 52228715 62674458 104457430 156686145 313372290