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664898328 = 233311327241
BaseRepresentation
bin100111101000011…
…000101100011000
31201100010100001000
4213220120230120
52330203221303
6145551025000
722322354043
oct4750305430
91640110030
10664898328
11311354a56
1216680b160
13a799c283
146443bc5a
153d58bda3
hex27a18b18

664898328 has 64 divisors (see below), whose sum is σ = 1863352800. Its totient is φ = 219663360.

The previous prime is 664898291. The next prime is 664898357. The reversal of 664898328 is 823898466.

664898328 is a `hidden beast` number, since 66 + 489 + 83 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10788 + ... + 38028.

Almost surely, 2664898328 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 664898328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931676400).

664898328 is an abundant number, since it is smaller than the sum of its proper divisors (1198454472).

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

664898328 is a wasteful number, since it uses less digits than its factorization.

664898328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27369 (or 27359 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 664898328 is about 25785.6225055747. The cubic root of 664898328 is about 872.8073877448.

It can be divided in two parts, 6648 and 98328, that added together give a 4-th power (104976 = 184).

The spelling of 664898328 in words is "six hundred sixty-four million, eight hundred ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 2034 2712 3051 4068 6102 8136 12204 24408 27241 54482 81723 108964 163446 217928 245169 326892 490338 653784 735507 980676 1471014 1961352 2942028 3078233 5884056 6156466 9234699 12312932 18469398 24625864 27704097 36938796 55408194 73877592 83112291 110816388 166224582 221632776 332449164 664898328