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312255412 = 227292391609
BaseRepresentation
bin10010100111001…
…010001110110100
3210202120012220021
4102213022032310
51114414133122
650552414524
710511061430
oct2247121664
9722505807
10312255412
11150295127
12886a7444
134c8cc121
142d6839c0
151c6301c7
hex129ca3b4

312255412 has 48 divisors (see below), whose sum is σ = 649152000. Its totient is φ = 128588544.

The previous prime is 312255403. The next prime is 312255413. The reversal of 312255412 is 214552213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312255413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193264 + ... + 194872.

It is an arithmetic number, because the mean of its divisors is an integer number (13524000).

Almost surely, 2312255412 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 312255412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324576000).

312255412 is an abundant number, since it is smaller than the sum of its proper divisors (336896588).

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

312255412 is a wasteful number, since it uses less digits than its factorization.

312255412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1886 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 312255412 is about 17670.7501821513. The cubic root of 312255412 is about 678.4273142121.

The spelling of 312255412 in words is "three hundred twelve million, two hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 239 406 478 812 956 1609 1673 3218 3346 6436 6692 6931 11263 13862 22526 27724 45052 46661 48517 93322 97034 186644 194068 326627 384551 653254 769102 1306508 1538204 2691857 5383714 10767428 11151979 22303958 44607916 78063853 156127706 312255412