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105384434 = 2294767577
BaseRepresentation
bin1100100100000…
…00100111110010
321100022002021012
412102000213302
5203434300214
614242430522
72416516151
oct622004762
9240262235
10105384434
1154539981
122b362442
1318aaa56c
14ddd3598
1593ba03e
hex64809f2

105384434 has 32 divisors (see below), whose sum is σ = 169793280. Its totient is φ = 48964608.

The previous prime is 105384427. The next prime is 105384437. The reversal of 105384434 is 434483501.

It is a super-2 number, since 2×1053844342 = 22211757859000712, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105384434.

It is not an unprimeable number, because it can be changed into a prime (105384437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182354 + ... + 182930.

It is an arithmetic number, because the mean of its divisors is an integer number (5306040).

Almost surely, 2105384434 is an apocalyptic number.

105384434 is a deficient number, since it is larger than the sum of its proper divisors (64408846).

105384434 is a wasteful number, since it uses less digits than its factorization.

105384434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722.

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 105384434 is about 10265.6920857778. The cubic root of 105384434 is about 472.3444561409.

The spelling of 105384434 in words is "one hundred five million, three hundred eighty-four thousand, four hundred thirty-four".

Divisors: 1 2 29 47 58 67 94 134 577 1154 1363 1943 2726 3149 3886 6298 16733 27119 33466 38659 54238 77318 91321 182642 786451 1121111 1572902 1816973 2242222 3633946 52692217 105384434