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320414125 = 537179457
BaseRepresentation
bin10011000110010…
…010000110101101
3211022220201112211
4103012102012231
51124011223000
651443330421
710640321653
oct2306220655
9738821484
10320414125
11154957969
128b380a11
13514c7875
14307a8dd3
151d1e27ba
hex131921ad

320414125 has 32 divisors (see below), whose sum is σ = 411540480. Its totient is φ = 248976000.

The previous prime is 320414123. The next prime is 320414131. The reversal of 320414125 is 521414023.

It is not a de Polignac number, because 320414125 - 21 = 320414123 is a prime.

It is a super-2 number, since 2×3204141252 = 205330422999031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320414096 and 320414105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320414123) 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 31 ways as a sum of consecutive naturals, for example, 700897 + ... + 701353.

It is an arithmetic number, because the mean of its divisors is an integer number (12860640).

Almost surely, 2320414125 is an apocalyptic number.

It is an amenable number.

320414125 is a deficient number, since it is larger than the sum of its proper divisors (91126355).

320414125 is an equidigital number, since it uses as much as digits as its factorization.

320414125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 320414125 is about 17900.1152230928. The cubic root of 320414125 is about 684.2853113912.

Adding to 320414125 its reverse (521414023), we get a palindrome (841828148).

The spelling of 320414125 in words is "three hundred twenty million, four hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 5 25 71 79 125 355 395 457 1775 1975 2285 5609 8875 9875 11425 28045 32447 36103 57125 140225 162235 180515 701125 811175 902575 2563313 4055875 4512875 12816565 64082825 320414125