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316239680 = 2653171449
BaseRepresentation
bin10010110110010…
…110111101000000
3211001001122021202
4102312112331000
51121424132210
651214040332
710556664401
oct2266267500
9731048252
10316239680
11152566609
1289aa90a8
1350695793
142dddd9a8
151cb6a9a5
hex12d96f40

316239680 has 112 divisors (see below), whose sum is σ = 790041600. Its totient is φ = 120422400.

The previous prime is 316239659. The next prime is 316239689. The reversal of 316239680 is 86932613.

316239680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316239689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704096 + ... + 704544.

Almost surely, 2316239680 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 316239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395020800).

316239680 is an abundant number, since it is smaller than the sum of its proper divisors (473801920).

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

316239680 is a wasteful number, since it uses less digits than its factorization.

316239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 316239680 is about 17783.1290834881. The cubic root of 316239680 is about 681.3006249167.

The spelling of 316239680 in words is "three hundred sixteen million, two hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 71 80 124 142 155 160 248 284 310 320 355 449 496 568 620 710 898 992 1136 1240 1420 1796 1984 2201 2245 2272 2480 2840 3592 4402 4490 4544 4960 5680 7184 8804 8980 9920 11005 11360 13919 14368 17608 17960 22010 22720 27838 28736 31879 35216 35920 44020 55676 63758 69595 70432 71840 88040 111352 127516 139190 140864 143680 159395 176080 222704 255032 278380 318790 352160 445408 510064 556760 637580 704320 890816 988249 1020128 1113520 1275160 1976498 2040256 2227040 2550320 3952996 4454080 4941245 5100640 7905992 9882490 10201280 15811984 19764980 31623968 39529960 63247936 79059920 158119840 316239680