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315421400 = 235271729457
BaseRepresentation
bin10010110011001…
…111001011011000
3210222112001211002
4102303033023120
51121221441100
651144324132
710550015630
oct2263171330
9728461732
10315421400
11152057848
1289773648
135046a1a8
142dc696c0
151ca582d5
hex12ccf2d8

315421400 has 192 divisors, whose sum is σ = 920030400. Its totient is φ = 98058240.

The previous prime is 315421369. The next prime is 315421427. The reversal of 315421400 is 4124513.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689972 + ... + 690428.

It is an arithmetic number, because the mean of its divisors is an integer number (4791825).

Almost surely, 2315421400 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 315421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460015200).

315421400 is an abundant number, since it is smaller than the sum of its proper divisors (604609000).

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

315421400 is a wasteful number, since it uses less digits than its factorization.

315421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 315421400 is about 17760.1069816598. The cubic root of 315421400 is about 680.7124885042.

Adding to 315421400 its reverse (4124513), we get a palindrome (319545913).

The spelling of 315421400 in words is "three hundred fifteen million, four hundred twenty-one thousand, four hundred".