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312317070 = 235132229269
BaseRepresentation
bin10010100111011…
…001010010001110
3210202200100110220
4102213121102032
51114423121240
650554012210
710511436252
oct2247312216
9722610426
10312317070
1115032748a
1288717066
134c921200
142d69c262
151c6435d0
hex129d948e

312317070 has 96 divisors (see below), whose sum is σ = 818229600. Its totient is φ = 76257792.

The previous prime is 312317059. The next prime is 312317147. The reversal of 312317070 is 70713213.

It is a self number, because there is not a number n which added to its sum of digits gives 312317070.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160896 + ... + 1161164.

It is an arithmetic number, because the mean of its divisors is an integer number (8523225).

Almost surely, 2312317070 is an apocalyptic number.

312317070 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 312317070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409114800).

312317070 is an abundant number, since it is smaller than the sum of its proper divisors (505912530).

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

312317070 is a wasteful number, since it uses less digits than its factorization.

312317070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 312317070 is about 17672.4947305127. The cubic root of 312317070 is about 678.4719653926.

The spelling of 312317070 in words is "three hundred twelve million, three hundred seventeen thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 229 269 338 390 458 507 538 687 807 845 1014 1145 1345 1374 1614 1690 2290 2535 2690 2977 3435 3497 4035 5070 5954 6870 6994 8070 8931 10491 14885 17485 17862 20982 29770 34970 38701 44655 45461 52455 61601 77402 89310 90922 104910 116103 123202 136383 184803 193505 227305 232206 272766 308005 369606 387010 454610 580515 616010 681915 800813 924015 1161030 1363830 1601626 1848030 2402439 4004065 4804878 8008130 10410569 12012195 20821138 24024390 31231707 52052845 62463414 104105690 156158535 312317070