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314057660 = 22573172693
BaseRepresentation
bin10010101110000…
…010001110111100
3210212221210010012
4102232002032330
51120344321120
651055202352
710532306000
oct2256021674
9725853105
10314057660
11151306194
12892163b8
13500b0547
142d9d2700
151c8891c5
hex12b823bc

314057660 has 96 divisors (see below), whose sum is σ = 814665600. Its totient is φ = 101305344.

The previous prime is 314057657. The next prime is 314057719. The reversal of 314057660 is 66750413.

It is a congruent number.

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, 115274 + ... + 117966.

It is an arithmetic number, because the mean of its divisors is an integer number (8486100).

Almost surely, 2314057660 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 314057660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407332800).

314057660 is an abundant number, since it is smaller than the sum of its proper divisors (500607940).

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

314057660 is a wasteful number, since it uses less digits than its factorization.

314057660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 314057660 is about 17721.6720430099. The cubic root of 314057660 is about 679.7300398988.

The spelling of 314057660 in words is "three hundred fourteen million, fifty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 343 476 490 595 686 833 980 1190 1372 1666 1715 2380 2693 3332 3430 4165 5386 5831 6860 8330 10772 11662 13465 16660 18851 23324 26930 29155 37702 45781 53860 58310 75404 91562 94255 116620 131957 183124 188510 228905 263914 320467 377020 457810 527828 640934 659785 915620 923699 1281868 1319570 1602335 1847398 2243269 2639140 3204670 3694796 4486538 4618495 6409340 8973076 9236990 11216345 15702883 18473980 22432690 31405766 44865380 62811532 78514415 157028830 314057660