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313441300 = 22523134413
BaseRepresentation
bin10010101011101…
…011110000010100
3210211210110122001
4102223223300110
51120220110200
651034045044
710524131014
oct2253536024
9724713561
10313441300
11150a250a7
1288b79784
134cc25b33
142d8b1c44
151c7b676a
hex12aebc14

313441300 has 18 divisors (see below), whose sum is σ = 680167838. Its totient is φ = 125376480.

The previous prime is 313441273. The next prime is 313441307. The reversal of 313441300 is 3144313.

It can be written as a sum of positive squares in 3 ways, for example, as 86155524 + 227285776 = 9282^2 + 15076^2 .

It is a super-3 number, since 3×3134413003 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313441307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1567107 + ... + 1567306.

Almost surely, 2313441300 is an apocalyptic number.

It is an amenable number.

313441300 is an abundant number, since it is smaller than the sum of its proper divisors (366726538).

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

313441300 is a wasteful number, since it uses less digits than its factorization.

313441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134427 (or 3134420 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 313441300 is about 17704.2734954022. The cubic root of 313441300 is about 679.2850761885.

Adding to 313441300 its reverse (3144313), we get a palindrome (316585613).

The spelling of 313441300 in words is "three hundred thirteen million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3134413 6268826 12537652 15672065 31344130 62688260 78360325 156720650 313441300