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63964314 = 23229181677
BaseRepresentation
bin1111010000000…
…0010010011010
311110100201112200
43310000102122
5112333324224
610202551030
71404454611
oct364002232
9143321480
1063964314
1133119377
1219508476
131033750b
1486d0878
1559375c9
hex3d0049a

63964314 has 48 divisors (see below), whose sum is σ = 144373320. Its totient is φ = 20442240.

The previous prime is 63964301. The next prime is 63964331. The reversal of 63964314 is 41346936.

63964314 is a `hidden beast` number, since 6 + 3 + 9 + 643 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55756089 + 8208225 = 7467^2 + 2865^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94144 + ... + 94820.

Almost surely, 263964314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63964314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72186660).

63964314 is an abundant number, since it is smaller than the sum of its proper divisors (80409006).

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

63964314 is a wasteful number, since it uses less digits than its factorization.

63964314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

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

The square root of 63964314 is about 7997.7693140025. The cubic root of 63964314 is about 399.9256403441.

The spelling of 63964314 in words is "sixty-three million, nine hundred sixty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 181 261 362 522 543 677 1086 1354 1629 2031 3258 4062 5249 6093 10498 12186 15747 19633 31494 39266 47241 58899 94482 117798 122537 176697 245074 353394 367611 735222 1102833 2205666 3553573 7107146 10660719 21321438 31982157 63964314