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315243400 = 235210714731
BaseRepresentation
bin10010110010100…
…011101110001000
3210222012000122111
4102302203232020
51121200242100
651140432104
710545344653
oct2262435610
9728160574
10315243400
11151a4603a
12896a8634
1350407174
142dc2089a
151ca206ba
hex12ca3b88

315243400 has 48 divisors (see below), whose sum is σ = 739841040. Its totient is φ = 124910400.

The previous prime is 315243391. The next prime is 315243413. The reversal of 315243400 is 4342513.

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 11 ways as a sum of consecutive naturals, for example, 14035 + ... + 28765.

It is an arithmetic number, because the mean of its divisors is an integer number (15413355).

Almost surely, 2315243400 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 315243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369920520).

315243400 is an abundant number, since it is smaller than the sum of its proper divisors (424597640).

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

315243400 is a wasteful number, since it uses less digits than its factorization.

315243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14854 (or 14845 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 315243400 is about 17755.0950433953. The cubic root of 315243400 is about 680.5844168487.

Adding to 315243400 its reverse (4342513), we get a palindrome (319585913).

The spelling of 315243400 in words is "three hundred fifteen million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 10700 14731 21400 29462 58924 73655 117848 147310 294620 368275 589240 736550 1473100 1576217 2946200 3152434 6304868 7881085 12609736 15762170 31524340 39405425 63048680 78810850 157621700 315243400