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106714338 = 23173133749
BaseRepresentation
bin1100101110001…
…01010011100010
321102210122112220
412113011103202
5204304324323
614331131510
72434025343
oct627052342
9242718486
10106714338
1155268075
122b8a3b96
13191549a3
141025c0ca
15957e0e3
hex65c54e2

106714338 has 32 divisors (see below), whose sum is σ = 233280000. Its totient is φ = 32398080.

The previous prime is 106714337. The next prime is 106714339. The reversal of 106714338 is 833417601.

It is an interprime number because it is at equal distance from previous prime (106714337) and next prime (106714339).

It is a super-2 number, since 2×1067143382 = 22775899869556488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106714299 and 106714308.

It is not an unprimeable number, because it can be changed into a prime (106714337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13713 + ... + 20036.

It is an arithmetic number, because the mean of its divisors is an integer number (7290000).

Almost surely, 2106714338 is an apocalyptic number.

106714338 is an abundant number, since it is smaller than the sum of its proper divisors (126565662).

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

106714338 is a wasteful number, since it uses less digits than its factorization.

106714338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33802.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 106714338 is about 10330.2632105866. The cubic root of 106714338 is about 474.3230808455.

The spelling of 106714338 in words is "one hundred six million, seven hundred fourteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 1054 1581 3162 33749 67498 101247 202494 573733 1046219 1147466 1721199 2092438 3138657 3442398 6277314 17785723 35571446 53357169 106714338