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315400332 = 223138324359
BaseRepresentation
bin10010110011001…
…010000010001100
3210222110222220210
4102303022002030
51121220302312
651144042420
710546600332
oct2263120214
9728428823
10315400332
11152042a35
1289763410
1350460720
142dc61b52
151ca51e3c
hex12cca08c

315400332 has 48 divisors (see below), whose sum is σ = 802126080. Its totient is φ = 95873088.

The previous prime is 315400291. The next prime is 315400343. The reversal of 315400332 is 233004513.

It is a junction number, because it is equal to n+sod(n) for n = 315400299 and 315400308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769 + ... + 25127.

It is an arithmetic number, because the mean of its divisors is an integer number (16710960).

Almost surely, 2315400332 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 315400332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401063040).

315400332 is an abundant number, since it is smaller than the sum of its proper divisors (486725748).

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

315400332 is a wasteful number, since it uses less digits than its factorization.

315400332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24462 (or 24460 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 315400332 is about 17759.5138446974. The cubic root of 315400332 is about 680.6973325149.

Adding to 315400332 its reverse (233004513), we get a palindrome (548404845).

The spelling of 315400332 in words is "three hundred fifteen million, four hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 996 1079 2158 3237 4316 6474 12948 24359 48718 73077 97436 146154 292308 316667 633334 950001 1266668 1900002 2021797 3800004 4043594 6065391 8087188 12130782 24261564 26283361 52566722 78850083 105133444 157700166 315400332