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104526342 = 23371137199
BaseRepresentation
bin1100011101011…
…11001000000110
321021200111012000
412032233020012
5203224320332
614212210130
72406313344
oct616571006
9237614160
10104526342
1154003208
122b009946
1318869b0b
14dc4c994
15929ab7c
hex63af206

104526342 has 64 divisors (see below), whose sum is σ = 238464000. Its totient is φ = 33929280.

The previous prime is 104526337. The next prime is 104526349. The reversal of 104526342 is 243625401.

104526342 is a `hidden beast` number, since 104 + 526 + 34 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104526349) 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 31 ways as a sum of consecutive naturals, for example, 525159 + ... + 525357.

It is an arithmetic number, because the mean of its divisors is an integer number (3726000).

Almost surely, 2104526342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104526342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119232000).

104526342 is an abundant number, since it is smaller than the sum of its proper divisors (133937658).

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

104526342 is a wasteful number, since it uses less digits than its factorization.

104526342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 104526342 is about 10223.8124982807. The cubic root of 104526342 is about 471.0589402486.

The spelling of 104526342 in words is "one hundred four million, five hundred twenty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 137 142 199 213 274 398 411 426 597 639 822 1194 1233 1278 1791 1917 2466 3582 3699 3834 5373 7398 9727 10746 14129 19454 27263 28258 29181 42387 54526 58362 81789 84774 87543 127161 163578 175086 245367 254322 262629 381483 490734 525258 736101 762966 1472202 1935673 3871346 5807019 11614038 17421057 34842114 52263171 104526342