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315996840 = 233254179271
BaseRepresentation
bin10010110101011…
…011101010101000
3211000121022011200
4102311123222220
51121343344330
651204524200
710554633405
oct2265335250
9730538150
10315996840
11152410115
12899b0660
135060c0a3
142dd792ac
151cb1da60
hex12d5baa8

315996840 has 192 divisors, whose sum is σ = 1069286400. Its totient is φ = 80870400.

The previous prime is 315996827. The next prime is 315996841. The reversal of 315996840 is 48699513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (315996841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1165905 + ... + 1166175.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2315996840 is an apocalyptic number.

315996840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315996840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

315996840 is an abundant number, since it is smaller than the sum of its proper divisors (753289560).

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

315996840 is a wasteful number, since it uses less digits than its factorization.

315996840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 315996840 is about 17776.2999524648. The cubic root of 315996840 is about 681.1261903331.

It can be divided in two parts, 3159 and 96840, that added together give a palindrome (99999).

The spelling of 315996840 in words is "three hundred fifteen million, nine hundred ninety-six thousand, eight hundred forty".