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63381384 = 233211791013
BaseRepresentation
bin1111000111000…
…1111110001000
311102021002220200
43301301332020
5112211201014
610142252200
71366506243
oct361617610
9142232820
1063381384
1132860410
1219287060
13101920a1
1485bc25a
15586ea09
hex3c71f88

63381384 has 96 divisors (see below), whose sum is σ = 189820800. Its totient is φ = 18944640.

The previous prime is 63381377. The next prime is 63381403. The reversal of 63381384 is 48318336.

It is a happy number.

63381384 is a `hidden beast` number, since 633 + 8 + 13 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62062 + ... + 63074.

It is an arithmetic number, because the mean of its divisors is an integer number (1977300).

Almost surely, 263381384 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 63381384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94910400).

63381384 is an abundant number, since it is smaller than the sum of its proper divisors (126439416).

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

63381384 is a wasteful number, since it uses less digits than its factorization.

63381384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 63381384 is about 7961.2426165769. The cubic root of 63381384 is about 398.7070418176.

The spelling of 63381384 in words is "sixty-three million, three hundred eighty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 79 88 99 132 158 198 237 264 316 396 474 632 711 792 869 948 1013 1422 1738 1896 2026 2607 2844 3039 3476 4052 5214 5688 6078 6952 7821 8104 9117 10428 11143 12156 15642 18234 20856 22286 24312 31284 33429 36468 44572 62568 66858 72936 80027 89144 100287 133716 160054 200574 240081 267432 320108 401148 480162 640216 720243 802296 880297 960324 1440486 1760594 1920648 2640891 2880972 3521188 5281782 5761944 7042376 7922673 10563564 15845346 21127128 31690692 63381384