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315313400 = 23523150857
BaseRepresentation
bin10010110010110…
…100110011111000
3210222022120200002
4102302310303320
51121210012100
651142132132
710546056023
oct2262646370
9728276602
10315313400
11151a93696
1289721048
135042cc9c
142dc3c1ba
151ca362d5
hex12cb4cf8

315313400 has 48 divisors (see below), whose sum is σ = 756767040. Its totient is φ = 122054400.

The previous prime is 315313391. The next prime is 315313409. The reversal of 315313400 is 4313513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315313391) and next prime (315313409).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315313409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19229 + ... + 31628.

It is an arithmetic number, because the mean of its divisors is an integer number (15765980).

Almost surely, 2315313400 is an apocalyptic number.

It is an amenable number.

315313400 is an abundant number, since it is smaller than the sum of its proper divisors (441453640).

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

315313400 is a wasteful number, since it uses less digits than its factorization.

315313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50904 (or 50895 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 315313400 is about 17757.0661991220. The cubic root of 315313400 is about 680.6347878566.

Adding to 315313400 its reverse (4313513), we get a palindrome (319626913).

The spelling of 315313400 in words is "three hundred fifteen million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 50857 101714 203428 254285 406856 508570 1017140 1271425 1576567 2034280 2542850 3153134 5085700 6306268 7882835 10171400 12612536 15765670 31531340 39414175 63062680 78828350 157656700 315313400