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63343134 = 2342997139
BaseRepresentation
bin1111000110100…
…0101000011110
311102012011110000
43301220220132
5112203440014
610141355130
71366256601
oct361505036
9142164400
1063343134
11328346a8
1219268aa6
131017a85a
1485ac338
155863509
hex3c68a1e

63343134 has 80 divisors (see below), whose sum is σ = 149410800. Its totient is φ = 20030976.

The previous prime is 63343121. The next prime is 63343153. The reversal of 63343134 is 43134336.

63343134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 63343098 and 63343107.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 455637 + ... + 455775.

It is an arithmetic number, because the mean of its divisors is an integer number (1867635).

Almost surely, 263343134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63343134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74705400).

63343134 is an abundant number, since it is smaller than the sum of its proper divisors (86067666).

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

63343134 is a wasteful number, since it uses less digits than its factorization.

63343134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 63343134 is about 7958.8399908529. The cubic root of 63343134 is about 398.6268205062.

The spelling of 63343134 in words is "sixty-three million, three hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 97 139 162 174 194 261 278 291 417 522 582 783 834 873 1251 1566 1746 2349 2502 2619 2813 3753 4031 4698 5238 5626 7506 7857 8062 8439 11259 12093 13483 15714 16878 22518 24186 25317 26966 36279 40449 50634 72558 75951 80898 108837 121347 151902 217674 227853 242694 326511 364041 391007 455706 653022 728082 782014 1092123 1173021 2184246 2346042 3519063 7038126 10557189 21114378 31671567 63343134