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63994320 = 24335134353
BaseRepresentation
bin1111010000011…
…1100111010000
311110102020201000
43310013213100
5112340304240
610203342000
71404641235
oct364074720
9143366630
1063994320
1133139975
1219521900
1310348080
1486db78c
155941430
hex3d079d0

63994320 has 320 divisors, whose sum is σ = 247484160. Its totient is φ = 15095808.

The previous prime is 63994309. The next prime is 63994331. The reversal of 63994320 is 2349936.

It is a happy number.

63994320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63994309) and next prime (63994331).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1207414 + ... + 1207466.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 263994320 is an apocalyptic number.

63994320 is a gapful number since it is divisible by the number (60) 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 63994320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

63994320 is an abundant number, since it is smaller than the sum of its proper divisors (183489840).

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

63994320 is a wasteful number, since it uses less digits than its factorization.

63994320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 63994320 is about 7999.6449921231. The cubic root of 63994320 is about 399.9881663166.

The spelling of 63994320 in words is "sixty-three million, nine hundred ninety-four thousand, three hundred twenty".