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664264350 = 232521499907
BaseRepresentation
bin100111100101111…
…101111010011110
31201021221010101100
4213211331322132
52330022424400
6145525253530
722314103521
oct4745757236
91637833340
10664264350
11310a61702
121665642a6
13a7809839
1464314bb8
153d4b4100
hex2797de9e

664264350 has 72 divisors (see below), whose sum is σ = 1796815800. Its totient is φ = 175930560.

The previous prime is 664264333. The next prime is 664264351. The reversal of 664264350 is 53462466.

664264350 is a `hidden beast` number, since 6 + 6 + 4 + 2 + 643 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664264351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62097 + ... + 72003.

It is an arithmetic number, because the mean of its divisors is an integer number (24955775).

Almost surely, 2664264350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664264350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898407900).

664264350 is an abundant number, since it is smaller than the sum of its proper divisors (1132551450).

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

664264350 is a wasteful number, since it uses less digits than its factorization.

664264350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10074 (or 10066 counting only the distinct ones).

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

The square root of 664264350 is about 25773.3263278142. The cubic root of 664264350 is about 872.5298933664.

The spelling of 664264350 in words is "six hundred sixty-four million, two hundred sixty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 225 298 447 450 745 894 1341 1490 2235 2682 3725 4470 6705 7450 9907 11175 13410 19814 22350 29721 33525 49535 59442 67050 89163 99070 148605 178326 247675 297210 445815 495350 743025 891630 1476143 1486050 2229075 2952286 4428429 4458150 7380715 8856858 13285287 14761430 22142145 26570574 36903575 44284290 66426435 73807150 110710725 132852870 221421450 332132175 664264350