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63934416 = 243272131741
BaseRepresentation
bin1111001111100…
…0111111010000
311110022012112100
43303320333100
5112331400131
610202200400
71404301500
oct363707720
9143265470
1063934416
11330a8967
12194b3100
1310326a20
1486c3a00
15592d7e6
hex3cf8fd0

63934416 has 360 divisors, whose sum is σ = 243125064. Its totient is φ = 15482880.

The previous prime is 63934397. The next prime is 63934417. The reversal of 63934416 is 61443936.

63934416 is a `hidden beast` number, since 639 + 3 + 4 + 4 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 63680400 = 504^2 + 7980^2 .

It is a super-2 number, since 2×639344162 = 8175219098522112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63934417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1559356 + ... + 1559396.

Almost surely, 263934416 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 63934416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121562532).

63934416 is an abundant number, since it is smaller than the sum of its proper divisors (179190648).

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

63934416 is a wasteful number, since it uses less digits than its factorization.

63934416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 63934416 is about 7995.8999493490. The cubic root of 63934416 is about 399.8633199684.

The spelling of 63934416 in words is "sixty-three million, nine hundred thirty-four thousand, four hundred sixteen".