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391431096 = 233372979113
BaseRepresentation
bin10111010101001…
…100001110111000
31000021112202112000
4113111030032320
51300201243341
6102501421000
712462052350
oct2725141670
91007482460
10391431096
11190a52a81
12ab10a760
1363131244
1439db3b60
152456e8b6
hex1754c3b8

391431096 has 256 divisors, whose sum is σ = 1313280000. Its totient is φ = 105670656.

The previous prime is 391431091. The next prime is 391431097. The reversal of 391431096 is 690134193.

It is a super-2 number, since 2×3914310962 = 306436605831522432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 391431096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391431091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3463936 + ... + 3464048.

It is an arithmetic number, because the mean of its divisors is an integer number (5130000).

Almost surely, 2391431096 is an apocalyptic number.

391431096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391431096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640000).

391431096 is an abundant number, since it is smaller than the sum of its proper divisors (921848904).

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

391431096 is a wasteful number, since it uses less digits than its factorization.

391431096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 391431096 is about 19784.6176612034. The cubic root of 391431096 is about 731.5069240521.

The spelling of 391431096 in words is "three hundred ninety-one million, four hundred thirty-one thousand, ninety-six".