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312363220 = 225136831759
BaseRepresentation
bin10010100111100…
…100100011010100
3210202202200210011
4102213210203110
51114431110340
650555010004
710512020641
oct2247444324
9722680704
10312363220
11150359124
1288739904
134c939210
142d6b0dc8
151c6520ea
hex129e48d4

312363220 has 48 divisors (see below), whose sum is σ = 707857920. Its totient is φ = 115099776.

The previous prime is 312363209. The next prime is 312363229. The reversal of 312363220 is 22363213.

It is a junction number, because it is equal to n+sod(n) for n = 312363191 and 312363200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312363229) 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 15 ways as a sum of consecutive naturals, for example, 176701 + ... + 178459.

It is an arithmetic number, because the mean of its divisors is an integer number (14747040).

Almost surely, 2312363220 is an apocalyptic number.

It is an amenable number.

312363220 is an abundant number, since it is smaller than the sum of its proper divisors (395494700).

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

312363220 is a wasteful number, since it uses less digits than its factorization.

312363220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 312363220 is about 17673.8003836187. The cubic root of 312363220 is about 678.5053822224.

The spelling of 312363220 in words is "three hundred twelve million, three hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 683 1366 1759 2732 3415 3518 6830 7036 8795 8879 13660 17590 17758 22867 35180 35516 44395 45734 88790 91468 114335 177580 228670 457340 1201397 2402794 4805588 6006985 12013970 15618161 24027940 31236322 62472644 78090805 156181610 312363220