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641114336 = 25171677057
BaseRepresentation
bin100110001101101…
…010000011100000
31122200100222112102
4212031222003200
52303111124321
6143341145532
721613245002
oct4615520340
91580328472
10641114336
112a998a765
1215a85b2a8
13a2a926c5
146120a372
153b43ec0b
hex2636a0e0

641114336 has 48 divisors (see below), whose sum is σ = 1344633696. Its totient is φ = 299851776.

The previous prime is 641114329. The next prime is 641114363. The reversal of 641114336 is 633411146.

It is a super-2 number, since 2×6411143362 = 822055183649441792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641114299 and 641114308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87320 + ... + 94376.

It is an arithmetic number, because the mean of its divisors is an integer number (28013202).

Almost surely, 2641114336 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 641114336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672316848).

641114336 is an abundant number, since it is smaller than the sum of its proper divisors (703519360).

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

641114336 is a wasteful number, since it uses less digits than its factorization.

641114336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7243 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 641114336 is about 25320.2357019045. The cubic root of 641114336 is about 862.2737452039.

The spelling of 641114336 in words is "six hundred forty-one million, one hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 167 272 334 544 668 1336 2672 2839 5344 5678 7057 11356 14114 22712 28228 45424 56456 90848 112912 119969 225824 239938 479876 959752 1178519 1919504 2357038 3839008 4714076 9428152 18856304 20034823 37712608 40069646 80139292 160278584 320557168 641114336