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350184096 = 25321215917
BaseRepresentation
bin10100110111110…
…110001010100000
3220101221012021100
4110313312022200
51204121342341
654425354400
711451341613
oct2467661240
9811835240
10350184096
1116a740549
1299338a00
135771bc32
143471817a
1520b233b6
hex14df62a0

350184096 has 36 divisors (see below), whose sum is σ = 995836842. Its totient is φ = 116727936.

The previous prime is 350184083. The next prime is 350184097. The reversal of 350184096 is 690481053.

350184096 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., 280227600 + 69956496 = 16740^2 + 8364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 350184096.

It is not an unprimeable number, because it can be changed into a prime (350184097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 607671 + ... + 608246.

Almost surely, 2350184096 is an apocalyptic number.

350184096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

350184096 is an abundant number, since it is smaller than the sum of its proper divisors (645652746).

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

350184096 is a wasteful number, since it uses less digits than its factorization.

350184096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215933 (or 1215922 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 350184096 is about 18713.2064596103. The cubic root of 350184096 is about 704.8534115022.

The spelling of 350184096 in words is "three hundred fifty million, one hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1215917 2431834 3647751 4863668 7295502 9727336 10943253 14591004 19454672 21886506 29182008 38909344 43773012 58364016 87546024 116728032 175092048 350184096