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63378084 = 223711113607
BaseRepresentation
bin1111000111000…
…1001010100100
311102020221101110
43301301022210
5112211044314
610142225020
71366463520
oct361611244
9142227343
1063378084
1132858990
1219285170
1310190733
1485bad80
15586da59
hex3c712a4

63378084 has 96 divisors (see below), whose sum is σ = 186310656. Its totient is φ = 16289280.

The previous prime is 63378083. The next prime is 63378101. The reversal of 63378084 is 48087336.

It is a super-2 number, since 2×633780842 = 8033563063022112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63378083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104109 + ... + 104715.

It is an arithmetic number, because the mean of its divisors is an integer number (1940736).

Almost surely, 263378084 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 63378084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93155328).

63378084 is an abundant number, since it is smaller than the sum of its proper divisors (122932572).

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

63378084 is a wasteful number, since it uses less digits than its factorization.

63378084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 63378084 is about 7961.0353598009. The cubic root of 63378084 is about 398.7001220357.

The spelling of 63378084 in words is "sixty-three million, three hundred seventy-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 113 132 154 226 231 308 339 452 462 607 678 791 924 1214 1243 1356 1582 1821 2373 2428 2486 3164 3642 3729 4249 4746 4972 6677 7284 7458 8498 8701 9492 12747 13354 14916 16996 17402 20031 25494 26103 26708 34804 40062 46739 50988 52206 68591 80124 93478 104412 137182 140217 186956 205773 274364 280434 411546 480137 560868 754501 823092 960274 1440411 1509002 1920548 2263503 2880822 3018004 4527006 5281507 5761644 9054012 10563014 15844521 21126028 31689042 63378084