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34168068 = 2234119587
BaseRepresentation
bin1000001001010…
…1110100000100
32101021220210000
42002111310010
532221334233
63220201300
7563265234
oct202256404
971256700
1034168068
1118317a80
12b539230
1371041bc
144775cc4
152eedd13
hex2095d04

34168068 has 60 divisors (see below), whose sum is σ = 97452432. Its totient is φ = 10352880.

The previous prime is 34168031. The next prime is 34168073. The reversal of 34168068 is 86086143.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1230 + ... + 8357.

Almost surely, 234168068 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 34168068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48726216).

34168068 is an abundant number, since it is smaller than the sum of its proper divisors (63284364).

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

34168068 is a wasteful number, since it uses less digits than its factorization.

34168068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9614 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34168068 is about 5845.3458409234. The cubic root of 34168068 is about 324.4941020752.

The spelling of 34168068 in words is "thirty-four million, one hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 9587 19174 28761 38348 57522 86283 105457 115044 172566 210914 258849 316371 345132 421828 517698 632742 776547 949113 1035396 1265484 1553094 1898226 2847339 3106188 3796452 5694678 8542017 11389356 17084034 34168068