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63441630 = 2345767167
BaseRepresentation
bin1111001000000…
…0101011011110
311102101011120000
43302000223132
5112220113010
610143435130
71400150010
oct362005336
9142334500
1063441630
11328a16aa
12192b5aa6
13101b3635
1485d61b0
1558827c0
hex3c80ade

63441630 has 160 divisors (see below), whose sum is σ = 199051776. Its totient is φ = 14198976.

The previous prime is 63441629. The next prime is 63441673. The reversal of 63441630 is 3614436.

63441630 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 = 63441594 and 63441603.

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 79 ways as a sum of consecutive naturals, for example, 379807 + ... + 379973.

Almost surely, 263441630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63441630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99525888).

63441630 is an abundant number, since it is smaller than the sum of its proper divisors (135610146).

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

63441630 is a wasteful number, since it uses less digits than its factorization.

63441630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 63441630 is about 7965.0254236882. The cubic root of 63441630 is about 398.8333296758.

The spelling of 63441630 in words is "sixty-three million, four hundred forty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 81 90 105 126 134 135 162 167 189 201 210 270 315 334 335 378 402 405 469 501 567 603 630 670 810 835 938 945 1002 1005 1134 1169 1206 1407 1503 1670 1809 1890 2010 2338 2345 2505 2814 2835 3006 3015 3507 3618 4221 4509 4690 5010 5427 5670 5845 6030 7014 7035 7515 8442 9018 9045 10521 10854 11189 11690 12663 13527 14070 15030 17535 18090 21042 21105 22378 22545 25326 27054 27135 31563 33567 35070 37989 42210 45090 52605 54270 55945 63126 63315 67134 67635 75978 78323 94689 100701 105210 111890 126630 135270 156646 157815 167835 189378 189945 201402 234969 302103 315630 335670 379890 391615 469938 473445 503505 604206 704907 783230 906309 946890 1007010 1174845 1409814 1510515 1812618 2114721 2349690 3021030 3524535 4229442 4531545 6344163 7049070 9063090 10573605 12688326 21147210 31720815 63441630