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305358664 = 23132673371
BaseRepresentation
bin10010001100110…
…110011101001000
3210021120211100011
4102030312131020
51111132434124
650144521304
710365335332
oct2214663510
9707524304
10305358664
11147404536
1286320234
134b355c00
142c7aa452
151bc1b994
hex12336748

305358664 has 48 divisors (see below), whose sum is σ = 629417520. Its totient is φ = 138790080.

The previous prime is 305358659. The next prime is 305358679. The reversal of 305358664 is 466853503.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 88899 + ... + 92269.

It is an arithmetic number, because the mean of its divisors is an integer number (13112865).

Almost surely, 2305358664 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 305358664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314708760).

305358664 is an abundant number, since it is smaller than the sum of its proper divisors (324058856).

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

305358664 is a wasteful number, since it uses less digits than its factorization.

305358664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 305358664 is about 17474.5146999852. The cubic root of 305358664 is about 673.3953021641.

The spelling of 305358664 in words is "three hundred five million, three hundred fifty-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 67 104 134 169 268 338 536 676 871 1352 1742 3371 3484 6742 6968 11323 13484 22646 26968 43823 45292 87646 90584 175292 225857 350584 451714 569699 903428 1139398 1806856 2278796 2936141 4557592 5872282 11744564 23489128 38169833 76339666 152679332 305358664