Search a number
-
+
350492832 = 2534135221
BaseRepresentation
bin10100111001000…
…001100010100000
3220102111212210000
4110321001202200
51204211232312
654440140000
711454065664
oct2471014240
9812455700
10350492832
1116a9314a8
1299467600
13577c9611
14347988a4
1520b84adc
hex14e418a0

350492832 has 60 divisors (see below), whose sum is σ = 1030797306. Its totient is φ = 116830080.

The previous prime is 350492827. The next prime is 350492833. The reversal of 350492832 is 238294053.

350492832 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., 240746256 + 109746576 = 15516^2 + 10476^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (350492833) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65019 + ... + 70202.

Almost surely, 2350492832 is an apocalyptic number.

350492832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

350492832 is an abundant number, since it is smaller than the sum of its proper divisors (680304474).

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

350492832 is a wasteful number, since it uses less digits than its factorization.

350492832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135243 (or 135226 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 350492832 is about 18721.4537897034. The cubic root of 350492832 is about 705.0604927721.

The spelling of 350492832 in words is "three hundred fifty million, four hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 135221 270442 405663 540884 811326 1081768 1216989 1622652 2163536 2433978 3245304 3650967 4327072 4867956 6490608 7301934 9735912 10952901 12981216 14603868 19471824 21905802 29207736 38943648 43811604 58415472 87623208 116830944 175246416 350492832