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318953201 = 7217616277
BaseRepresentation
bin10011000000101…
…101011011110001
3211020011111112112
4103000231123301
51123123000301
651352135105
710622025500
oct2300553361
9736144475
10318953201
1115404a296
128a997495
1351105908
1430508837
151d0049bb
hex1302d6f1

318953201 has 24 divisors (see below), whose sum is σ = 399356136. Its totient is φ = 253048320.

The previous prime is 318953189. The next prime is 318953221. The reversal of 318953201 is 102359813.

It can be written as a sum of positive squares in 4 ways, for example, as 88642225 + 230310976 = 9415^2 + 15176^2 .

It is a de Polignac number, because none of the positive numbers 2k-318953201 is a prime.

It is a super-2 number, since 2×3189532012 = 203462288856292802, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318953221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47675 + ... + 53951.

It is an arithmetic number, because the mean of its divisors is an integer number (16639839).

Almost surely, 2318953201 is an apocalyptic number.

It is an amenable number.

318953201 is a deficient number, since it is larger than the sum of its proper divisors (80402935).

318953201 is a wasteful number, since it uses less digits than its factorization.

318953201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 318953201 is about 17859.2609309568. The cubic root of 318953201 is about 683.2437301244.

The spelling of 318953201 in words is "three hundred eighteen million, nine hundred fifty-three thousand, two hundred one".

Divisors: 1 7 17 49 61 119 427 833 1037 2989 6277 7259 43939 50813 106709 307573 382897 746963 2680279 5228741 6509249 18761953 45564743 318953201