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106362234 = 23411173511
BaseRepresentation
bin1100101011011…
…11010101111010
321102010202120000
412111233111322
5204212042414
614315413430
72431030656
oct625572572
9242122500
10106362234
1155047580
122b754276
1319060644
14101a9a66
15950eb09
hex656f57a

106362234 has 80 divisors (see below), whose sum is σ = 275368896. Its totient is φ = 30326400.

The previous prime is 106362233. The next prime is 106362253. The reversal of 106362234 is 432263601.

106362234 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 622 + 34 = 666.

It is a super-2 number, since 2×1063622342 = 22625849642941512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106362198 and 106362207.

It is not an unprimeable number, because it can be changed into a prime (106362233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28539 + ... + 32049.

Almost surely, 2106362234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106362234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137684448).

106362234 is an abundant number, since it is smaller than the sum of its proper divisors (169006662).

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

106362234 is a wasteful number, since it uses less digits than its factorization.

106362234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106362234 is about 10313.2067757803. The cubic root of 106362234 is about 473.8008296374.

The spelling of 106362234 in words is "one hundred six million, three hundred sixty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 297 306 374 459 561 594 891 918 1122 1377 1683 1782 2754 3366 3511 5049 7022 10098 10533 15147 21066 30294 31599 38621 59687 63198 77242 94797 115863 119374 179061 189594 231726 284391 347589 358122 537183 568782 656557 695178 1042767 1074366 1313114 1611549 1969671 2085534 3128301 3223098 3939342 4834647 5909013 6256602 9669294 11818026 17727039 35454078 53181117 106362234