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320414432 = 2513770227
BaseRepresentation
bin10011000110010…
…010001011100000
3211022220201222012
4103012102023200
51124011230212
651443332052
710640322602
oct2306221340
9738821865
10320414432
11154958118
128b381028
13514c7a50
14307a9172
151d1e2922
hex131922e0

320414432 has 24 divisors (see below), whose sum is σ = 679341096. Its totient is φ = 147883392.

The previous prime is 320414429. The next prime is 320414459. The reversal of 320414432 is 234414023.

It is a junction number, because it is equal to n+sod(n) for n = 320414398 and 320414407.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 384698 + ... + 385529.

It is an arithmetic number, because the mean of its divisors is an integer number (28305879).

Almost surely, 2320414432 is an apocalyptic number.

320414432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320414432 is an abundant number, since it is smaller than the sum of its proper divisors (358926664).

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

320414432 is a wasteful number, since it uses less digits than its factorization.

320414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770250 (or 770242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 320414432 is about 17900.1237984546. The cubic root of 320414432 is about 684.2855299370.

Adding to 320414432 its reverse (234414023), we get a palindrome (554828455).

The spelling of 320414432 in words is "three hundred twenty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 770227 1540454 3080908 6161816 10012951 12323632 20025902 24647264 40051804 80103608 160207216 320414432