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34105104 = 2433117177
BaseRepresentation
bin1000001000011…
…0011100010000
32101011201102000
42002012130100
532212330404
63214554000
7562613535
oct202063420
971151360
1034105104
1118284740
12b508900
1370b1647
14475ad8c
152eda339
hex2086710

34105104 has 80 divisors (see below), whose sum is σ = 106808640. Its totient is φ = 10333440.

The previous prime is 34105087. The next prime is 34105109. The reversal of 34105104 is 40150143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34105109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164 + ... + 8340.

It is an arithmetic number, because the mean of its divisors is an integer number (1335108).

Almost surely, 234105104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53404320).

34105104 is an abundant number, since it is smaller than the sum of its proper divisors (72703536).

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

34105104 is a wasteful number, since it uses less digits than its factorization.

34105104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34105104 is about 5839.9575340922. The cubic root of 34105104 is about 324.2946565024.

Adding to 34105104 its reverse (40150143), we get a palindrome (74255247).

The spelling of 34105104 in words is "thirty-four million, one hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 7177 14354 21531 28708 43062 57416 64593 78947 86124 114832 129186 157894 172248 193779 236841 258372 315788 344496 387558 473682 516744 631576 710523 775116 947364 1033488 1263152 1421046 1550232 1894728 2131569 2842092 3100464 3789456 4263138 5684184 8526276 11368368 17052552 34105104