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34545168 = 2432743797
BaseRepresentation
bin1000001111000…
…1111000010000
32102000002001200
42003301320100
532320421133
63232231200
7566425530
oct203617020
972002050
1034545168
1118555329
12b69b500
137206a38
1448334c0
153075913
hex20f1e10

34545168 has 120 divisors (see below), whose sum is σ = 113201088. Its totient is φ = 9628416.

The previous prime is 34545167. The next prime is 34545179. The reversal of 34545168 is 86154543.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (34545167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42946 + ... + 43742.

Almost surely, 234545168 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 34545168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56600544).

34545168 is an abundant number, since it is smaller than the sum of its proper divisors (78655920).

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

34545168 is a wasteful number, since it uses less digits than its factorization.

34545168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 34545168 is about 5877.5137600860. The cubic root of 34545168 is about 325.6835098213.

The spelling of 34545168 in words is "thirty-four million, five hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 797 903 1008 1032 1204 1548 1594 1806 2064 2391 2408 2709 3096 3188 3612 4782 4816 5418 5579 6192 6376 7173 7224 9564 10836 11158 12752 14346 14448 16737 19128 21672 22316 28692 33474 34271 38256 43344 44632 50211 57384 66948 68542 89264 100422 102813 114768 133896 137084 200844 205626 239897 267792 274168 308439 401688 411252 479794 548336 616878 719691 803376 822504 959588 1233756 1439382 1645008 1919176 2159073 2467512 2878764 3838352 4318146 4935024 5757528 8636292 11515056 17272584 34545168