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312347940 = 223531307547
BaseRepresentation
bin10010100111100…
…000110100100100
3210202201220211020
4102213200310210
51114430113230
650554411140
710511625252
oct2247406444
9722656736
10312347940
111503486a3
1288730ab0
134c932288
142d6a95d2
151c64c810
hex129e0d24

312347940 has 96 divisors (see below), whose sum is σ = 907382784. Its totient is φ = 80196480.

The previous prime is 312347929. The next prime is 312347941. The reversal of 312347940 is 49743213.

It is a super-2 number, since 2×3123479402 = 195122471244487200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312347941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570747 + ... + 571293.

It is an arithmetic number, because the mean of its divisors is an integer number (9451904).

Almost surely, 2312347940 is an apocalyptic number.

312347940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312347940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453691392).

312347940 is an abundant number, since it is smaller than the sum of its proper divisors (595034844).

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

312347940 is a wasteful number, since it uses less digits than its factorization.

312347940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 312347940 is about 17673.3681000538. The cubic root of 312347940 is about 678.4943184665.

The spelling of 312347940 in words is "three hundred twelve million, three hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 307 310 372 465 547 614 620 921 930 1094 1228 1535 1641 1842 1860 2188 2735 3070 3282 3684 4605 5470 6140 6564 8205 9210 9517 10940 16410 16957 18420 19034 28551 32820 33914 38068 47585 50871 57102 67828 84785 95170 101742 114204 142755 167929 169570 190340 203484 254355 285510 335858 339140 503787 508710 571020 671716 839645 1007574 1017420 1679290 2015148 2518935 3358580 5037870 5205799 10075740 10411598 15617397 20823196 26028995 31234794 52057990 62469588 78086985 104115980 156173970 312347940