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63945344 = 271134421
BaseRepresentation
bin1111001111101…
…1101010000000
311110022202112002
43303323222000
5112332222334
610202323132
71404345401
oct363735200
9143282462
1063945344
11331060a1
12194b94a8
131032b9a8
1486c79a8
155931b7e
hex3cfba80

63945344 has 32 divisors (see below), whose sum is σ = 128547540. Its totient is φ = 31682560.

The previous prime is 63945341. The next prime is 63945367. The reversal of 63945344 is 44354936.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62599744 + 1345600 = 7912^2 + 1160^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 63945298 and 63945307.

It is not an unprimeable number, because it can be changed into a prime (63945341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12254 + ... + 16674.

Almost surely, 263945344 is an apocalyptic number.

63945344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64273770).

63945344 is an abundant number, since it is smaller than the sum of its proper divisors (64602196).

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

63945344 is a wasteful number, since it uses less digits than its factorization.

63945344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4536 counting only the distinct ones).

The product of its digits is 155520, while the sum is 38.

The square root of 63945344 is about 7996.5832703724. The cubic root of 63945344 is about 399.8861009039.

The spelling of 63945344 in words is "sixty-three million, nine hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 4421 7232 8842 14464 17684 35368 70736 141472 282944 499573 565888 999146 1998292 3996584 7993168 15986336 31972672 63945344