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312636740 = 2251367131137
BaseRepresentation
bin10010101000100…
…111010101000100
3210210021120222112
4102220213111010
51120013333430
651004520152
710514240243
oct2250472504
9723246875
10312636740
11150525679
1288850058
134ca03870
142d74295a
151c6a8195
hex12a27544

312636740 has 96 divisors (see below), whose sum is σ = 728348544. Its totient is φ = 112020480.

The previous prime is 312636691. The next prime is 312636757. The reversal of 312636740 is 47636213.

It is a junction number, because it is equal to n+sod(n) for n = 312636697 and 312636706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2281952 + ... + 2282088.

It is an arithmetic number, because the mean of its divisors is an integer number (7586964).

Almost surely, 2312636740 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 312636740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364174272).

312636740 is an abundant number, since it is smaller than the sum of its proper divisors (415711804).

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

312636740 is a wasteful number, since it uses less digits than its factorization.

312636740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 312636740 is about 17681.5366979231. The cubic root of 312636740 is about 678.7033682396.

The spelling of 312636740 in words is "three hundred twelve million, six hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 131 134 137 260 262 268 274 335 524 548 655 670 685 871 1310 1340 1370 1703 1742 1781 2620 2740 3406 3484 3562 4355 6812 7124 8515 8710 8777 8905 9179 17030 17420 17554 17810 17947 18358 34060 35108 35620 35894 36716 43885 45895 71788 87770 89735 91790 114101 119327 175540 179470 183580 228202 233311 238654 358940 456404 466622 477308 570505 596635 933244 1141010 1166555 1193270 1202449 2282020 2333110 2386540 2404898 4666220 4809796 6012245 12024490 15631837 24048980 31263674 62527348 78159185 156318370 312636740