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63834064 = 247281421
BaseRepresentation
bin1111001110000…
…0011111010000
311110010002212121
43303200133100
5112320142224
610200104024
71403403100
oct363403720
9143102777
1063834064
113303a528
1219465014
13102c0148
148699200
15590dbe4
hex3ce07d0

63834064 has 30 divisors (see below), whose sum is σ = 143872674. Its totient is φ = 27357120.

The previous prime is 63834061. The next prime is 63834077. The reversal of 63834064 is 46043836.

63834064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 63680400 + 153664 = 7980^2 + 392^2 .

It is a super-3 number, since 3×638340643 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63834061) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 39927 + ... + 41494.

Almost surely, 263834064 is an apocalyptic number.

It is an amenable number.

63834064 is an abundant number, since it is smaller than the sum of its proper divisors (80038610).

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

63834064 is a wasteful number, since it uses less digits than its factorization.

63834064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81443 (or 81430 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 63834064 is about 7989.6222689186. The cubic root of 63834064 is about 399.6540007977.

The spelling of 63834064 in words is "sixty-three million, eight hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 81421 162842 325684 569947 651368 1139894 1302736 2279788 3989629 4559576 7979258 9119152 15958516 31917032 63834064