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63134336 = 27716947
BaseRepresentation
bin1111000011010…
…1101010000000
311101210120000202
43300311222000
5112130244321
610133104332
71364430056
oct360655200
9141716022
1063134336
1132701841
12191880a8
13101067c5
1485561d6
15582170b
hex3c35a80

63134336 has 32 divisors (see below), whose sum is σ = 127565280. Its totient is φ = 31118080.

The previous prime is 63134299. The next prime is 63134341. The reversal of 63134336 is 63343136.

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 = 63134299 and 63134308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5615 + ... + 12561.

It is an arithmetic number, because the mean of its divisors is an integer number (3986415).

Almost surely, 263134336 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 63134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63782640).

63134336 is an abundant number, since it is smaller than the sum of its proper divisors (64430944).

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

63134336 is an equidigital number, since it uses as much as digits as its factorization.

63134336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7020 counting only the distinct ones).

The product of its digits is 11664, while the sum is 29.

The square root of 63134336 is about 7945.7117994551. The cubic root of 63134336 is about 398.1883404451.

The spelling of 63134336 in words is "sixty-three million, one hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 6947 9088 13894 27788 55576 111152 222304 444608 493237 889216 986474 1972948 3945896 7891792 15783584 31567168 63134336