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303814864 = 24199710303
BaseRepresentation
bin10010000110111…
…101100011010000
3210011200101122101
4102012331203100
51110234033424
650051450144
710346245423
oct2206754320
9704611571
10303814864
1114654a671
12858b6954
134ac35312
142c4c79ba
151ba14344
hex121bd8d0

303814864 has 40 divisors (see below), whose sum is σ = 626071040. Its totient is φ = 142414848.

The previous prime is 303814859. The next prime is 303814873. The reversal of 303814864 is 468418303.

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 7 ways as a sum of consecutive naturals, for example, 24337 + ... + 34639.

It is an arithmetic number, because the mean of its divisors is an integer number (15651776).

Almost surely, 2303814864 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 303814864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313035520).

303814864 is an abundant number, since it is smaller than the sum of its proper divisors (322256176).

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

303814864 is a wasteful number, since it uses less digits than its factorization.

303814864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10421 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 303814864 is about 17430.2858266868. The cubic root of 303814864 is about 672.2585574402.

It can be divided in two parts, 30381 and 4864, that added together give a triangular number (35245 = T265).

The spelling of 303814864 in words is "three hundred three million, eight hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 97 152 194 304 388 776 1552 1843 3686 7372 10303 14744 20606 29488 41212 82424 164848 195757 391514 783028 999391 1566056 1998782 3132112 3997564 7995128 15990256 18988429 37976858 75953716 151907432 303814864