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63057344 = 267413433
BaseRepresentation
bin1111000010001…
…0110111000000
311101122122102012
43300202313000
5112120313334
610131312052
71363656440
oct360426700
9141578365
1063057344
1132659a09
121914b628
13100aa74c
148536120
1558089ce
hex3c22dc0

63057344 has 56 divisors (see below), whose sum is σ = 146535648. Its totient is φ = 26357760.

The previous prime is 63057331. The next prime is 63057367. The reversal of 63057344 is 44375036.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 63057344.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 16652 + ... + 20084.

It is an arithmetic number, because the mean of its divisors is an integer number (2616708).

Almost surely, 263057344 is an apocalyptic number.

63057344 is a gapful number since it is divisible by the number (64) 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 63057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73267824).

63057344 is an abundant number, since it is smaller than the sum of its proper divisors (83478304).

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

63057344 is a wasteful number, since it uses less digits than its factorization.

63057344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 63057344 is about 7940.8654440181. The cubic root of 63057344 is about 398.0264117217.

The spelling of 63057344 in words is "sixty-three million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 3433 4592 6866 9184 13732 18368 24031 27464 48062 54928 96124 109856 140753 192248 219712 281506 384496 563012 768992 985271 1126024 1537984 1970542 2252048 3941084 4504096 7882168 9008192 15764336 31528672 63057344