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34522164 = 223219411231
BaseRepresentation
bin1000001110110…
…0010000110100
32101221220111200
42003230100310
532314202124
63231532500
7566301465
oct203542064
971856450
1034522164
111853a016
12b68a130
1371c9421
144828d6c
15306dbc9
hex20ec434

34522164 has 72 divisors (see below), whose sum is σ = 94174080. Its totient is φ = 10627200.

The previous prime is 34522141. The next prime is 34522171. The reversal of 34522164 is 46122543.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27429 + ... + 28659.

Almost surely, 234522164 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 34522164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47087040).

34522164 is an abundant number, since it is smaller than the sum of its proper divisors (59651916).

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

34522164 is a wasteful number, since it uses less digits than its factorization.

34522164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1296 counting only the distinct ones).

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

The square root of 34522164 is about 5875.5564842830. The cubic root of 34522164 is about 325.6112017146.

The spelling of 34522164 in words is "thirty-four million, five hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1231 1476 1558 2337 2462 3116 3693 4674 4924 7011 7386 9348 11079 14022 14772 22158 23389 28044 44316 46778 50471 70167 93556 100942 140334 151413 201884 210501 280668 302826 421002 454239 605652 842004 908478 958949 1816956 1917898 2876847 3835796 5753694 8630541 11507388 17261082 34522164