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107274384 = 24327313433
BaseRepresentation
bin1100110010011…
…10000010010000
321110212002210100
412121032002100
5204430240014
614351132400
72441550210
oct631160220
9243762710
10107274384
115560a918
122bb14100
13192bc889
1410366240
159640009
hex664e090

107274384 has 120 divisors (see below), whose sum is σ = 354278912. Its totient is φ = 29652480.

The previous prime is 107274383. The next prime is 107274407. The reversal of 107274384 is 483472701.

It is a happy number.

107274384 is a `hidden beast` number, since 1 + 0 + 7 + 274 + 384 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (107274383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29532 + ... + 32964.

Almost surely, 2107274384 is an apocalyptic number.

107274384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107274384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177139456).

107274384 is an abundant number, since it is smaller than the sum of its proper divisors (247004528).

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

107274384 is a wasteful number, since it uses less digits than its factorization.

107274384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 107274384 is about 10357.3347923102. The cubic root of 107274384 is about 475.1513962465.

The spelling of 107274384 in words is "one hundred seven million, two hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3433 3472 3906 4464 5208 6866 7812 10299 10416 13732 15624 20598 24031 27464 30897 31248 41196 48062 54928 61794 72093 82392 96124 106423 123588 144186 164784 192248 212846 216279 247176 288372 319269 384496 425692 432558 494352 576744 638538 744961 851384 865116 957807 1153488 1277076 1489922 1702768 1730232 1915614 2234883 2554152 2979844 3460464 3831228 4469766 5108304 5959688 6704649 7662456 8939532 11919376 13409298 15324912 17879064 26818596 35758128 53637192 107274384