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103626342 = 23219535717
BaseRepresentation
bin1100010110100…
…11011001100110
321012222202121200
412023103121212
5203012020332
614141023330
72365544421
oct613233146
9235882550
10103626342
1153549006
122a854b46
1318613281
14da969b8
15916e17c
hex62d3666

103626342 has 48 divisors (see below), whose sum is σ = 240842160. Its totient is φ = 32101056.

The previous prime is 103626329. The next prime is 103626353. The reversal of 103626342 is 243626301.

103626342 is a `hidden beast` number, since 1 + 0 + 3 + 626 + 34 + 2 = 666.

It is a super-3 number, since 3×1036263423 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15268 + ... + 20984.

It is an arithmetic number, because the mean of its divisors is an integer number (5017545).

Almost surely, 2103626342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103626342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120421080).

103626342 is an abundant number, since it is smaller than the sum of its proper divisors (137215818).

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

103626342 is a wasteful number, since it uses less digits than its factorization.

103626342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5797 (or 5794 counting only the distinct ones).

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

The square root of 103626342 is about 10179.7024514472. The cubic root of 103626342 is about 469.7030597579.

The spelling of 103626342 in words is "one hundred three million, six hundred twenty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 477 954 1007 2014 3021 5717 6042 9063 11434 17151 18126 34302 51453 102906 108623 217246 303001 325869 606002 651738 909003 977607 1818006 1955214 2727009 5454018 5757019 11514038 17271057 34542114 51813171 103626342