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313805380 = 225717791669
BaseRepresentation
bin10010101101000…
…100101001000100
3210212110222001111
4102231010221010
51120313233010
651045534404
710530205330
oct2255045104
9725428044
10313805380
11151153699
1289114404
1350022775
142d9687c0
151c83958a
hex12b44a44

313805380 has 96 divisors (see below), whose sum is σ = 808012800. Its totient is φ = 99919872.

The previous prime is 313805369. The next prime is 313805389. The reversal of 313805380 is 83508313.

It is not an unprimeable number, because it can be changed into a prime (313805389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187186 + ... + 188854.

It is an arithmetic number, because the mean of its divisors is an integer number (8416800).

Almost surely, 2313805380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313805380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404006400).

313805380 is an abundant number, since it is smaller than the sum of its proper divisors (494207420).

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

313805380 is a wasteful number, since it uses less digits than its factorization.

313805380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 313805380 is about 17714.5527744846. The cubic root of 313805380 is about 679.5479839119.

The spelling of 313805380 in words is "three hundred thirteen million, eight hundred five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 79 85 119 140 158 170 238 316 340 395 476 553 595 790 1106 1190 1343 1580 1669 2212 2380 2686 2765 3338 5372 5530 6676 6715 8345 9401 11060 11683 13430 16690 18802 23366 26860 28373 33380 37604 46732 47005 56746 58415 94010 113492 116830 131851 141865 188020 198611 233660 263702 283730 397222 527404 567460 659255 794444 922957 993055 1318510 1845914 1986110 2241467 2637020 3691828 3972220 4482934 4614785 8965868 9229570 11207335 15690269 18459140 22414670 31380538 44829340 62761076 78451345 156902690 313805380