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313604816 = 24723532297
BaseRepresentation
bin10010101100010…
…011101011010000
3210212002202221012
4102230103223100
51120240323231
651041350052
710525411520
oct2254235320
9725082835
10313604816
11151026a38
1289038328
134cc823a5
142d915680
151c7e9e2b
hex12b13ad0

313604816 has 80 divisors (see below), whose sum is σ = 738595584. Its totient is φ = 126077952.

The previous prime is 313604807. The next prime is 313604849. The reversal of 313604816 is 618406313.

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 15 ways as a sum of consecutive naturals, for example, 135380 + ... + 137676.

Almost surely, 2313604816 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 313604816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369297792).

313604816 is an abundant number, since it is smaller than the sum of its proper divisors (424990768).

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

313604816 is a wasteful number, since it uses less digits than its factorization.

313604816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 313604816 is about 17708.8908743603. The cubic root of 313604816 is about 679.4031787583.

The spelling of 313604816 in words is "three hundred thirteen million, six hundred four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 46 53 56 92 106 112 161 184 212 322 368 371 424 644 742 848 1219 1288 1484 2297 2438 2576 2968 4594 4876 5936 8533 9188 9752 16079 17066 18376 19504 32158 34132 36752 52831 64316 68264 105662 121741 128632 136528 211324 243482 257264 369817 422648 486964 739634 845296 852187 973928 1479268 1704374 1947856 2800043 2958536 3408748 5600086 5917072 6817496 11200172 13634992 19600301 22400344 39200602 44800688 78401204 156802408 313604816