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106354326 = 23134767433
BaseRepresentation
bin1100101011011…
…01011010010110
321102010100201010
412111231122112
5204211314301
614315313050
72430665631
oct625553226
9242110633
10106354326
1155041641
122b74b786
1319059b70
14101a6c18
15950c5d6
hex656d696

106354326 has 64 divisors (see below), whose sum is σ = 237984768. Its totient is φ = 31477248.

The previous prime is 106354319. The next prime is 106354327. The reversal of 106354326 is 623453601.

It is a super-2 number, since 2×1063543262 = 22622485317828552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106354293 and 106354302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106354327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245406 + ... + 245838.

It is an arithmetic number, because the mean of its divisors is an integer number (3718512).

Almost surely, 2106354326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106354326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118992384).

106354326 is an abundant number, since it is smaller than the sum of its proper divisors (131630442).

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

106354326 is a wasteful number, since it uses less digits than its factorization.

106354326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 106354326 is about 10312.8233767480. The cubic root of 106354326 is about 473.7890870301.

The spelling of 106354326 in words is "one hundred six million, three hundred fifty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 47 67 78 94 134 141 201 282 402 433 611 866 871 1222 1299 1742 1833 2598 2613 3149 3666 5226 5629 6298 9447 11258 16887 18894 20351 29011 33774 40702 40937 58022 61053 81874 87033 122106 122811 174066 245622 264563 377143 529126 754286 793689 1131429 1363517 1587378 2262858 2727034 4090551 8181102 17725721 35451442 53177163 106354326