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664410276 = 22348923041
BaseRepresentation
bin100111100110100…
…001100010100100
31201022012112120000
4213212201202210
52330042112101
6145532341300
722315252125
oct4746414244
91638175500
10664410276
11311051302
12166614830
13a785b09a
146435204c
153d4e2486
hex279a18a4

664410276 has 60 divisors (see below), whose sum is σ = 1756491660. Its totient is φ = 218972160.

The previous prime is 664410251. The next prime is 664410287. The reversal of 664410276 is 672014466.

664410276 is a `hidden beast` number, since 6 + 644 + 1 + 0 + 2 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129413376 + 534996900 = 11376^2 + 23130^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 664410276.

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 19 ways as a sum of consecutive naturals, for example, 17316 + ... + 40356.

It is an arithmetic number, because the mean of its divisors is an integer number (29274861).

Almost surely, 2664410276 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 664410276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878245830).

664410276 is an abundant number, since it is smaller than the sum of its proper divisors (1092081384).

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

664410276 is a wasteful number, since it uses less digits than its factorization.

664410276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23146 (or 23135 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 664410276 is about 25776.1571224261. The cubic root of 664410276 is about 872.5937813224.

The spelling of 664410276 in words is "six hundred sixty-four million, four hundred ten thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 1068 1602 2403 3204 4806 7209 9612 14418 23041 28836 46082 69123 92164 138246 207369 276492 414738 622107 829476 1244214 1866321 2050649 2488428 3732642 4101298 6151947 7465284 8202596 12303894 18455841 24607788 36911682 55367523 73823364 110735046 166102569 221470092 332205138 664410276