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325406664 = 2332111033989
BaseRepresentation
bin10011011001010…
…100111111001000
3211200022101000200
4103121110333020
51131301003124
652142332200
711030624322
oct2331247710
9750271020
10325406664
11157757930
1290b8a060
135255512b
1431308612
151d87bbc9
hex13654fc8

325406664 has 96 divisors (see below), whose sum is σ = 971006400. Its totient is φ = 97626240.

The previous prime is 325406663. The next prime is 325406677. The reversal of 325406664 is 466604523.

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

It is not an unprimeable number, because it can be changed into a prime (325406663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79582 + ... + 83570.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2325406664 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 325406664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485503200).

325406664 is an abundant number, since it is smaller than the sum of its proper divisors (645599736).

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

325406664 is a wasteful number, since it uses less digits than its factorization.

325406664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 325406664 is about 18039.0316813292. The cubic root of 325406664 is about 687.8210786315.

It can be divided in two parts, 32540 and 6664, that added together give a square (39204 = 1982).

The spelling of 325406664 in words is "three hundred twenty-five million, four hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 103 132 198 206 264 309 396 412 618 792 824 927 1133 1236 1854 2266 2472 3399 3708 3989 4532 6798 7416 7978 9064 10197 11967 13596 15956 20394 23934 27192 31912 35901 40788 43879 47868 71802 81576 87758 95736 131637 143604 175516 263274 287208 351032 394911 410867 526548 789822 821734 1053096 1232601 1579644 1643468 2465202 3159288 3286936 3697803 4519537 4930404 7395606 9039074 9860808 13558611 14791212 18078148 27117222 29582424 36156296 40675833 54234444 81351666 108468888 162703332 325406664