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2312474130 = 233517521967
BaseRepresentation
bin1000100111010101…
…1000111000010010
312222011022212011000
42021311120320102
514213443133010
61021244202430
7111206464041
oct21165307022
95864285130
102312474130
11a8737104a
12546539416
132ab121bb5
1417d198558
15d80377c0
hex89d58e12

2312474130 has 128 divisors (see below), whose sum is σ = 6548636160. Its totient is φ = 578672640.

The previous prime is 2312474093. The next prime is 2312474161. The reversal of 2312474130 is 314742132.

It is a happy number.

2312474130 is a `hidden beast` number, since 2 + 3 + 1 + 247 + 413 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2312474094 and 2312474103.

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, 2390907 + ... + 2391873.

It is an arithmetic number, because the mean of its divisors is an integer number (51161220).

Almost surely, 22312474130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312474130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274318080).

2312474130 is an abundant number, since it is smaller than the sum of its proper divisors (4236162030).

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

2312474130 is a wasteful number, since it uses less digits than its factorization.

2312474130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2312474130 is about 48088.1911699744. The cubic root of 2312474130 is about 1322.3881869393.

The spelling of 2312474130 in words is "two billion, three hundred twelve million, four hundred seventy-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 521 765 918 967 1042 1530 1563 1934 2295 2605 2901 3126 4590 4689 4835 5210 5802 7815 8703 8857 9378 9670 14067 14505 15630 16439 17406 17714 23445 26109 26571 28134 29010 32878 43515 44285 46890 49317 52218 53142 70335 79713 82195 87030 88570 98634 130545 132855 140670 147951 159426 164390 239139 246585 261090 265710 295902 398565 443853 478278 493170 503807 739755 797130 887706 1007614 1195695 1479510 1511421 2219265 2391390 2519035 3022842 4438530 4534263 5038070 7557105 8564719 9068526 13602789 15114210 17129438 22671315 25694157 27205578 42823595 45342630 51388314 68013945 77082471 85647190 128470785 136027890 154164942 231247413 256941570 385412355 462494826 770824710 1156237065 2312474130