Search a number
-
+
7303327056 = 2432291748881
BaseRepresentation
bin1101100110100111…
…11110110101010000
3200211222111110021200
412303103332311100
5104424122431211
63204411351200
7345661153464
oct66323766520
920758443250
107303327056
1131085a0793
1214b9a52500
138c50ca1cc
144d3d584a4
152cb283b56
hex1b34fed50

7303327056 has 60 divisors (see below), whose sum is σ = 21143983380. Its totient is φ = 2350494720.

The previous prime is 7303327043. The next prime is 7303327061. The reversal of 7303327056 is 6507233037.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2032567056 + 5270760000 = 45084^2 + 72600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7303327056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870265 + ... + 878616.

It is an arithmetic number, because the mean of its divisors is an integer number (352399723).

Almost surely, 27303327056 is an apocalyptic number.

It is an amenable number.

7303327056 is an abundant number, since it is smaller than the sum of its proper divisors (13840656324).

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

7303327056 is a wasteful number, since it uses less digits than its factorization.

7303327056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748924 (or 1748915 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 36.

The square root of 7303327056 is about 85459.5053578009. The cubic root of 7303327056 is about 1940.1720767051.

The spelling of 7303327056 in words is "seven billion, three hundred three million, three hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 1748881 3497762 5246643 6995524 10493286 13991048 15739929 20986572 27982096 31479858 41973144 50717549 62959716 83946288 101435098 125919432 152152647 202870196 251838864 304305294 405740392 456457941 608610588 811480784 912915882 1217221176 1825831764 2434442352 3651663528 7303327056