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313342420 = 225314710753
BaseRepresentation
bin10010101011010…
…011100111010100
3210211121102222211
4102223103213110
51120203424140
651032003204
710523236516
oct2253234724
9724542884
10313342420
11150967886
1288b30504
134cbbcb21
142d887bb6
151c7972ea
hex12ad39d4

313342420 has 48 divisors (see below), whose sum is σ = 693762048. Its totient is φ = 118702080.

The previous prime is 313342399. The next prime is 313342481. The reversal of 313342420 is 24243313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313342391 and 313342400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23764 + ... + 34516.

It is an arithmetic number, because the mean of its divisors is an integer number (14453376).

Almost surely, 2313342420 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 313342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346881024).

313342420 is an abundant number, since it is smaller than the sum of its proper divisors (380419628).

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

313342420 is a wasteful number, since it uses less digits than its factorization.

313342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10840 (or 10838 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 313342420 is about 17701.4807290238. The cubic root of 313342420 is about 679.2136382801.

Adding to 313342420 its reverse (24243313), we get a palindrome (337585733).

The spelling of 313342420 in words is "three hundred thirteen million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1457 2914 5828 7285 10753 14570 21506 29140 43012 53765 107530 215060 333343 505391 666686 1010782 1333372 1666715 2021564 2526955 3333430 5053910 6666860 10107820 15667121 31334242 62668484 78335605 156671210 313342420