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315204264 = 23332336263
BaseRepresentation
bin10010110010011…
…010001010101000
3210222010000222000
4102302122022220
51121143014024
651135531000
710545122604
oct2262321250
9728100860
10315204264
11151a196a1
1289689a60
13503c23cb
142dc10504
151ca13cc9
hex12c9a2a8

315204264 has 64 divisors (see below), whose sum is σ = 879465600. Its totient is φ = 104600448.

The previous prime is 315204251. The next prime is 315204341. The reversal of 315204264 is 462402513.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47197 + ... + 53459.

It is an arithmetic number, because the mean of its divisors is an integer number (13741650).

Almost surely, 2315204264 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 315204264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439732800).

315204264 is an abundant number, since it is smaller than the sum of its proper divisors (564261336).

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

315204264 is a wasteful number, since it uses less digits than its factorization.

315204264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 315204264 is about 17753.9929030064. The cubic root of 315204264 is about 680.5562518879.

Adding to 315204264 its reverse (462402513), we get a palindrome (777606777).

The spelling of 315204264 in words is "three hundred fifteen million, two hundred four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 233 466 699 932 1398 1864 2097 2796 4194 5592 6263 6291 8388 12526 12582 16776 18789 25052 25164 37578 50104 50328 56367 75156 112734 150312 169101 225468 338202 450936 676404 1352808 1459279 2918558 4377837 5837116 8755674 11674232 13133511 17511348 26267022 35022696 39400533 52534044 78801066 105068088 157602132 315204264