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313441020 = 223251741339
BaseRepresentation
bin10010101011101…
…011101011111100
3210211210110020200
4102223223223330
51120220103040
651034043500
710524130134
oct2253535374
9724713220
10313441020
11150a24972
1288b79590
134cc25979
142d8b1ac4
151c7b6630
hex12aebafc

313441020 has 36 divisors (see below), whose sum is σ = 950771640. Its totient is φ = 83584224.

The previous prime is 313441003. The next prime is 313441057. The reversal of 313441020 is 20144313.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313440984 and 313441002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870490 + ... + 870849.

Almost surely, 2313441020 is an apocalyptic number.

313441020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313441020 is an abundant number, since it is smaller than the sum of its proper divisors (637330620).

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

313441020 is a wasteful number, since it uses less digits than its factorization.

313441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741354 (or 1741349 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313441020 is about 17704.2655877051. The cubic root of 313441020 is about 679.2848739179.

Adding to 313441020 its reverse (20144313), we get a palindrome (333585333).

The spelling of 313441020 in words is "three hundred thirteen million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1741339 3482678 5224017 6965356 8706695 10448034 15672051 17413390 20896068 26120085 31344102 34826780 52240170 62688204 78360255 104480340 156720510 313441020