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313794390 = 235713137839
BaseRepresentation
bin10010101101000…
…001111101010110
3210212110101222110
4102231001331112
51120312410030
651045411450
710530131310
oct2255017526
9725411873
10313794390
11151146408
1289109b86
135001a770
142d9647b0
151c8361b0
hex12b41f56

313794390 has 128 divisors (see below), whose sum is σ = 934778880. Its totient is φ = 65645568.

The previous prime is 313794319. The next prime is 313794409. The reversal of 313794390 is 93497313.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 373591 + ... + 374429.

It is an arithmetic number, because the mean of its divisors is an integer number (7302960).

Almost surely, 2313794390 is an apocalyptic number.

313794390 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 313794390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467389440).

313794390 is an abundant number, since it is smaller than the sum of its proper divisors (620984490).

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

313794390 is a wasteful number, since it uses less digits than its factorization.

313794390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006.

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 313794390 is about 17714.2425748323. The cubic root of 313794390 is about 679.5400508425.

The spelling of 313794390 in words is "three hundred thirteen million, seven hundred ninety-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 137 182 195 210 273 274 390 411 455 546 685 822 839 910 959 1365 1370 1678 1781 1918 2055 2517 2730 2877 3562 4110 4195 4795 5034 5343 5754 5873 8390 8905 9590 10686 10907 11746 12467 12585 14385 17619 17810 21814 24934 25170 26715 28770 29365 32721 35238 37401 53430 54535 58730 62335 65442 74802 76349 88095 109070 114943 124670 152698 163605 176190 187005 229047 229886 327210 344829 374010 381745 458094 574715 689658 763490 804601 1145235 1149430 1494259 1609202 1724145 2290470 2413803 2988518 3448290 4023005 4482777 4827606 7471295 8046010 8965554 10459813 12069015 14942590 20919626 22413885 24138030 31379439 44827770 52299065 62758878 104598130 156897195 313794390