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312845328 = 2434241393
BaseRepresentation
bin10010101001011…
…010010000010000
3210210200012010000
4102221122100100
51120042022303
651013210000
710516066335
oct2251322020
9723605100
10312845328
11150658364
1288930900
134ca777a3
142d79898c
151c6e9da3
hex12a5a410

312845328 has 50 divisors (see below), whose sum is σ = 905468894. Its totient is φ = 104281344.

The previous prime is 312845261. The next prime is 312845347. The reversal of 312845328 is 823548213.

It can be written as a sum of positive squares in only one way, i.e., 308634624 + 4210704 = 17568^2 + 2052^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312845292 and 312845301.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 119401 + ... + 121992.

Almost surely, 2312845328 is an apocalyptic number.

It is an amenable number.

312845328 is an abundant number, since it is smaller than the sum of its proper divisors (592623566).

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

312845328 is a wasteful number, since it uses less digits than its factorization.

312845328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241413 (or 241398 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 312845328 is about 17687.4341836231. The cubic root of 312845328 is about 678.8542759729.

The spelling of 312845328 in words is "three hundred twelve million, eight hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 241393 482786 724179 965572 1448358 1931144 2172537 2896716 3862288 4345074 5793432 6517611 8690148 11586864 13035222 17380296 19552833 26070444 34760592 39105666 52140888 78211332 104281776 156422664 312845328