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309371382 = 23231612149
BaseRepresentation
bin10010011100001…
…010000111110110
3210120010200202100
4102130022013312
51113144341012
650410522530
710444420245
oct2234120766
9716120670
10309371382
111496a5331
1287736446
134c12c4b8
142d13295c
151c2608dc
hex1270a1f6

309371382 has 72 divisors (see below), whose sum is σ = 708177600. Its totient is φ = 97502400.

The previous prime is 309371339. The next prime is 309371401. The reversal of 309371382 is 283173903.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2076244 + ... + 2076392.

It is an arithmetic number, because the mean of its divisors is an integer number (9835800).

Almost surely, 2309371382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309371382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354088800).

309371382 is an abundant number, since it is smaller than the sum of its proper divisors (398806218).

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

309371382 is a wasteful number, since it uses less digits than its factorization.

309371382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 309371382 is about 17588.9562510116. The cubic root of 309371382 is about 676.3321707625.

The spelling of 309371382 in words is "three hundred nine million, three hundred seventy-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 149 183 186 279 298 366 447 549 558 894 1098 1341 1891 2682 3721 3782 4619 5673 7442 9089 9238 11163 11346 13857 17019 18178 22326 27267 27714 33489 34038 41571 54534 66978 81801 83142 115351 163602 230702 281759 346053 554429 563518 692106 845277 1038159 1108858 1663287 1690554 2076318 2535831 3326574 4989861 5071662 9979722 17187299 34374598 51561897 103123794 154685691 309371382