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34712172 = 22331161479
BaseRepresentation
bin1000010001101…
…0101001101100
32102022120011000
42010122221230
532341242142
63240000300
7601022445
oct204325154
972276130
1034712172
1118659850
12b760090
137264a61
1448782cc
1530aa14c
hex211aa6c

34712172 has 96 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 10324800.

The previous prime is 34712141. The next prime is 34712173. The reversal of 34712172 is 27121743.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (34712173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72229 + ... + 72707.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 234712172 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 34712172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

34712172 is an abundant number, since it is smaller than the sum of its proper divisors (65281428).

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

34712172 is a wasteful number, since it uses less digits than its factorization.

34712172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 34712172 is about 5891.7036585354. The cubic root of 34712172 is about 326.2074908282.

The spelling of 34712172 in words is "thirty-four million, seven hundred twelve thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 479 549 594 671 732 958 1098 1188 1342 1437 1647 1916 2013 2196 2684 2874 3294 4026 4311 5269 5748 6039 6588 8052 8622 10538 12078 12933 15807 17244 18117 21076 24156 25866 29219 31614 36234 47421 51732 58438 63228 72468 87657 94842 116876 142263 175314 189684 262971 284526 321409 350628 525942 569052 642818 788913 964227 1051884 1285636 1577826 1928454 2892681 3155652 3856908 5785362 8678043 11570724 17356086 34712172