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305831864 = 23132317297
BaseRepresentation
bin10010001110101…
…001111110111000
3210022110212110002
4102032221332320
51111243104424
650203012132
710402346042
oct2216517670
9708425402
10305831864
111476a8008
128650a048
134b490400
142c890a92
151bcb1cae
hex123a9fb8

305831864 has 48 divisors (see below), whose sum is σ = 641056320. Its totient is φ = 136581120.

The previous prime is 305831863. The next prime is 305831959. The reversal of 305831864 is 468138503.

305831864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305831863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38264 + ... + 45560.

It is an arithmetic number, because the mean of its divisors is an integer number (13355340).

Almost surely, 2305831864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305831864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320528160).

305831864 is an abundant number, since it is smaller than the sum of its proper divisors (335224456).

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

305831864 is a wasteful number, since it uses less digits than its factorization.

305831864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 305831864 is about 17488.0491765091. The cubic root of 305831864 is about 673.7429656789.

The spelling of 305831864 in words is "three hundred five million, eight hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 676 806 1352 1612 3224 5239 7297 10478 14594 20956 29188 41912 58376 94861 189722 226207 379444 452414 758888 904828 1233193 1809656 2466386 2940691 4932772 5881382 9865544 11762764 23525528 38228983 76457966 152915932 305831864