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311079424 = 293716421
BaseRepresentation
bin10010100010101…
…011001000000000
3210200100110202011
4102202223020000
51114114020144
650511302304
710465063045
oct2242531000
9720313664
10311079424
1114a661637
128821a994
134c5a9a86
142d4591cc
151c49ba34
hex128ab200

311079424 has 40 divisors (see below), whose sum is σ = 638388828. Its totient is φ = 151326720.

The previous prime is 311079409. The next prime is 311079437. The reversal of 311079424 is 424970113.

It can be written as a sum of positive squares in 2 ways, for example, as 306950400 + 4129024 = 17520^2 + 2032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10734 + ... + 27154.

Almost surely, 2311079424 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 311079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319194414).

311079424 is an abundant number, since it is smaller than the sum of its proper divisors (327309404).

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

311079424 is an equidigital number, since it uses as much as digits as its factorization.

311079424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16460 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 311079424 is about 17637.4438057220. The cubic root of 311079424 is about 677.5745656686.

The spelling of 311079424 in words is "three hundred eleven million, seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 9472 16421 18944 32842 65684 131368 262736 525472 607577 1050944 1215154 2101888 2430308 4203776 4860616 8407552 9721232 19442464 38884928 77769856 155539712 311079424