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318551104 = 26232972
BaseRepresentation
bin10010111111001…
…011010001000000
3211012102001222001
4102333023101000
51123022113404
651335353344
710615432264
oct2277132100
9735361861
10318551104
111538a5183
128a822854
1350cc48a1
14304420a4
151ce757a4
hex12fcb440

318551104 has 63 divisors (see below), whose sum is σ = 667686117. Its totient is φ = 150779904.

The previous prime is 318551069. The next prime is 318551113. The reversal of 318551104 is 401155813.

The square root of 318551104 is 17848.

It is a perfect power (a square), and thus also a powerful number.

318551104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 143041600 + 175509504 = 11960^2 + 13248^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 3283984 + ... + 3284080.

Almost surely, 2318551104 is an apocalyptic number.

318551104 is the 17848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318551104

318551104 is an abundant number, since it is smaller than the sum of its proper divisors (349135013).

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

318551104 is an frugal number, since it uses more digits than its factorization.

318551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The cubic root of 318551104 is about 682.9564928087.

It can be divided in two parts, 3185 and 51104, that added together give a square (54289 = 2332).

The spelling of 318551104 in words is "three hundred eighteen million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 184 194 368 388 529 736 776 1058 1472 1552 2116 2231 3104 4232 4462 6208 8464 8924 9409 16928 17848 18818 33856 35696 37636 51313 71392 75272 102626 142784 150544 205252 216407 301088 410504 432814 602176 821008 865628 1642016 1731256 3284032 3462512 4977361 6925024 9954722 13850048 19909444 39818888 79637776 159275552 318551104