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315780304 = 247217192943
BaseRepresentation
bin10010110100100…
…110110011010000
3211000012022010211
4102310212303100
51121314432204
651200133504
710553042200
oct2264466320
9730168124
10315780304
11152282464
1289907294
1350564668
142dd20400
151cac9804
hex12d26cd0

315780304 has 240 divisors, whose sum is σ = 839678400. Its totient is φ = 113799168.

The previous prime is 315780281. The next prime is 315780329. The reversal of 315780304 is 403087513.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7343707 + ... + 7343749.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2315780304 is an apocalyptic number.

315780304 is a gapful number since it is divisible by the number (34) 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 315780304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419839200).

315780304 is an abundant number, since it is smaller than the sum of its proper divisors (523898096).

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

315780304 is a wasteful number, since it uses less digits than its factorization.

315780304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 315780304 is about 17770.2083274226. The cubic root of 315780304 is about 680.9705748084.

The spelling of 315780304 in words is "three hundred fifteen million, seven hundred eighty thousand, three hundred four".