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320413152 = 2533337637
BaseRepresentation
bin10011000110010…
…001110111100000
3211022220200012210
4103012101313200
51124011210102
651443322120
710640316063
oct2306216740
9738820183
10320413152
11154957164
128b380340
13514c72a7
14307a88da
151d1e236c
hex13191de0

320413152 has 24 divisors (see below), whose sum is σ = 841084776. Its totient is φ = 106804352.

The previous prime is 320413151. The next prime is 320413153. The reversal of 320413152 is 251314023.

It is an interprime number because it is at equal distance from previous prime (320413151) and next prime (320413153).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320413151) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1668723 + ... + 1668914.

It is an arithmetic number, because the mean of its divisors is an integer number (35045199).

Almost surely, 2320413152 is an apocalyptic number.

320413152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320413152 is an abundant number, since it is smaller than the sum of its proper divisors (520671624).

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

320413152 is a wasteful number, since it uses less digits than its factorization.

320413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337650 (or 3337642 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 320413152 is about 17900.0880444762. The cubic root of 320413152 is about 684.2846187352.

Adding to 320413152 its reverse (251314023), we get a palindrome (571727175).

The spelling of 320413152 in words is "three hundred twenty million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3337637 6675274 10012911 13350548 20025822 26701096 40051644 53402192 80103288 106804384 160206576 320413152