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320130432 = 2732277891
BaseRepresentation
bin10011000101001…
…100110110000000
3211022101022101200
4103011030312000
51123423133212
651433301200
710635030606
oct2305146600
9738338350
10320130432
11154783806
128b264800
13514286bb
1430733876
151d1886dc
hex1314cd80

320130432 has 48 divisors (see below), whose sum is σ = 921211980. Its totient is φ = 106709760.

The previous prime is 320130431. The next prime is 320130511. The reversal of 320130432 is 234031023.

320130432 is a `hidden beast` number, since 3 + 201 + 30 + 432 = 666.

320130432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320130431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 137794 + ... + 140097.

Almost surely, 2320130432 is an apocalyptic number.

320130432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320130432 is an abundant number, since it is smaller than the sum of its proper divisors (601081548).

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

320130432 is a wasteful number, since it uses less digits than its factorization.

320130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277911 (or 277896 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 320130432 is about 17892.1891338092. The cubic root of 320130432 is about 684.0832975400.

Adding to 320130432 its reverse (234031023), we get a palindrome (554161455).

It can be divided in two parts, 3201 and 30432, that added together give a palindrome (33633).

The spelling of 320130432 in words is "three hundred twenty million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 277891 555782 833673 1111564 1667346 2223128 2501019 3334692 4446256 5002038 6669384 8892512 10004076 13338768 17785024 20008152 26677536 35570048 40016304 53355072 80032608 106710144 160065216 320130432