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63314320 = 2457011129
BaseRepresentation
bin1111000110000…
…1100110010000
311102010200220211
43301201212100
5112202024240
610141013504
71366106566
oct361414620
9142120824
1063314320
1132814a93
1219254294
131016a6c4
1485a1a36
155859bea
hex3c61990

63314320 has 40 divisors (see below), whose sum is σ = 147546360. Its totient is φ = 25267200.

The previous prime is 63314299. The next prime is 63314323. The reversal of 63314320 is 2341336.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 58491904 = 2196^2 + 7648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 63314291 and 63314300.

It is not an unprimeable number, because it can be changed into a prime (63314323) by changing a digit.

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, 55516 + ... + 56644.

It is an arithmetic number, because the mean of its divisors is an integer number (3688659).

Almost surely, 263314320 is an apocalyptic number.

It is an amenable number.

63314320 is an abundant number, since it is smaller than the sum of its proper divisors (84232040).

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

63314320 is a wasteful number, since it uses less digits than its factorization.

63314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 63314320 is about 7957.0295965266. The cubic root of 63314320 is about 398.5663678860.

Adding to 63314320 its reverse (2341336), we get a palindrome (65655656).

The spelling of 63314320 in words is "sixty-three million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 701 1129 1402 2258 2804 3505 4516 5608 5645 7010 9032 11216 11290 14020 18064 22580 28040 45160 56080 90320 791429 1582858 3165716 3957145 6331432 7914290 12662864 15828580 31657160 63314320