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312425640 = 23335289283
BaseRepresentation
bin10010100111110…
…011110010101000
3210202212212102000
4102213303302220
51114440110030
651000211000
710512400632
oct2247636250
9722785360
10312425640
111503a100a
1288769a60
134c95b757
142d6c9a52
151c665860
hex129f3ca8

312425640 has 64 divisors (see below), whose sum is σ = 1041422400. Its totient is φ = 83313216.

The previous prime is 312425639. The next prime is 312425653. The reversal of 312425640 is 46524213.

312425640 is a `hidden beast` number, since 3 + 12 + 4 + 2 + 5 + 640 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143562 + ... + 145721.

It is an arithmetic number, because the mean of its divisors is an integer number (16272225).

Almost surely, 2312425640 is an apocalyptic number.

312425640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312425640 is an abundant number, since it is smaller than the sum of its proper divisors (728996760).

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

312425640 is a wasteful number, since it uses less digits than its factorization.

312425640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289303 (or 289293 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 312425640 is about 17675.5661861226. The cubic root of 312425640 is about 678.5505747872.

Adding to 312425640 its reverse (46524213), we get a palindrome (358949853).

The spelling of 312425640 in words is "three hundred twelve million, four hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 289283 578566 867849 1157132 1446415 1735698 2314264 2603547 2892830 3471396 4339245 5207094 5785660 6942792 7810641 8678490 10414188 11571320 13017735 15621282 17356980 20828376 26035470 31242564 34713960 39053205 52070940 62485128 78106410 104141880 156212820 312425640