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312634140 = 223571357259
BaseRepresentation
bin10010101000100…
…110101100011100
3210210021110102020
4102220212230130
51120013243030
651004500140
710514226540
oct2250465434
9723243366
10312634140
11150523725
128884a650
134ca02620
142d741a20
151c6a7510
hex12a26b1c

312634140 has 96 divisors (see below), whose sum is σ = 1077404160. Its totient is φ = 65961216.

The previous prime is 312634129. The next prime is 312634141. The reversal of 312634140 is 41436213.

It is a self number, because there is not a number n which added to its sum of digits gives 312634140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312634141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23170 + ... + 34089.

It is an arithmetic number, because the mean of its divisors is an integer number (11222960).

Almost surely, 2312634140 is an apocalyptic number.

312634140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312634140 is an abundant number, since it is smaller than the sum of its proper divisors (764770020).

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

312634140 is a wasteful number, since it uses less digits than its factorization.

312634140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57291 (or 57289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 312634140 is about 17681.4631747489. The cubic root of 312634140 is about 678.7014867870.

The spelling of 312634140 in words is "three hundred twelve million, six hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 57259 114518 171777 229036 286295 343554 400813 572590 687108 744367 801626 858885 1145180 1202439 1488734 1603252 1717770 2004065 2233101 2404878 2977468 3435540 3721835 4008130 4466202 4809756 5210569 6012195 7443670 8016260 8932404 10421138 11165505 12024390 14887340 15631707 20842276 22331010 24048780 26052845 31263414 44662020 52105690 62526828 78158535 104211380 156317070 312634140