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311355420 = 22359835279
BaseRepresentation
bin10010100011101…
…110100000011100
3210200212111100020
4102203232200130
51114201333140
650521232140
710500322515
oct2243564034
9720774306
10311355420
1114a82aa32
1288332650
134c67559c
142d4cba0c
151c5036d0
hex128ee81c

311355420 has 48 divisors (see below), whose sum is σ = 872847360. Its totient is φ = 82927936.

The previous prime is 311355419. The next prime is 311355431. The reversal of 311355420 is 24553113.

It is a congruent number.

It is an unprimeable number.

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, 56341 + ... + 61619.

It is an arithmetic number, because the mean of its divisors is an integer number (18184320).

Almost surely, 2311355420 is an apocalyptic number.

311355420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311355420 is an abundant number, since it is smaller than the sum of its proper divisors (561491940).

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

311355420 is a wasteful number, since it uses less digits than its factorization.

311355420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 311355420 is about 17645.2662207177. The cubic root of 311355420 is about 677.7748924201.

The spelling of 311355420 in words is "three hundred eleven million, three hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 983 1966 2949 3932 4915 5279 5898 9830 10558 11796 14745 15837 19660 21116 26395 29490 31674 52790 58980 63348 79185 105580 158370 316740 5189257 10378514 15567771 20757028 25946285 31135542 51892570 62271084 77838855 103785140 155677710 311355420