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641376 = 253217131
BaseRepresentation
bin10011100100101100000
31012120210200
42130211200
5131011001
621425200
75310621
oct2344540
91176720
10641376
113a896a
1226b200
13195c18
14129a48
15ca086
hex9c960

641376 has 72 divisors (see below), whose sum is σ = 1945944. Its totient is φ = 199680.

The previous prime is 641371. The next prime is 641387. The reversal of 641376 is 673146.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6413762 = 822726346752, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641371) by changing a digit.

641376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4831 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (27027).

2641376 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 641376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972972).

641376 is an abundant number, since it is smaller than the sum of its proper divisors (1304568).

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

641376 is a wasteful number, since it uses less digits than its factorization.

641376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 641376 is about 800.8595382463. The cubic root of 641376 is about 86.2391038535.

The spelling of 641376 in words is "six hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 131 136 144 153 204 262 272 288 306 393 408 524 544 612 786 816 1048 1179 1224 1572 1632 2096 2227 2358 2448 3144 4192 4454 4716 4896 6288 6681 8908 9432 12576 13362 17816 18864 20043 26724 35632 37728 40086 53448 71264 80172 106896 160344 213792 320688 641376