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641304976 = 241324872
BaseRepresentation
bin100110001110011…
…000100110010000
31122200201200001011
4212032120212100
52303133224401
6143345220304
721615000544
oct4616304620
91580650034
10641304976
112a9aaaa14
1215a931694
13a2b2b400
1461259a24
153b47b451
hex26398990

641304976 has 45 divisors (see below), whose sum is σ = 1348228161. Its totient is φ = 295379136.

The previous prime is 641304971. The next prime is 641304977. The reversal of 641304976 is 679403146.

The square root of 641304976 is 25324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 94867600 + 546437376 = 9740^2 + 23376^2 .

It is a super-2 number, since 2×6413049762 = 822544144484721152, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (641304971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1316605 + ... + 1317091.

Almost surely, 2641304976 is an apocalyptic number.

641304976 is the 25324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641304976

641304976 is an abundant number, since it is smaller than the sum of its proper divisors (706923185).

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

641304976 is an equidigital number, since it uses as much as digits as its factorization.

641304976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The cubic root of 641304976 is about 862.3592045189.

The spelling of 641304976 in words is "six hundred forty-one million, three hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 487 676 974 1352 1948 2704 3896 6331 7792 12662 25324 50648 82303 101296 164606 237169 329212 474338 658424 948676 1316848 1897352 3083197 3794704 6166394 12332788 24665576 40081561 49331152 80163122 160326244 320652488 641304976