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34668180 = 22325192601
BaseRepresentation
bin1000010000111…
…1111010010100
32102020022210200
42010033322110
532333340210
63235020500
7600450261
oct204177224
972208720
1034668180
1118629798
12b73a730
13724aa21
144866268
15309c0c0
hex210fe94

34668180 has 36 divisors (see below), whose sum is σ = 105160692. Its totient is φ = 9244800.

The previous prime is 34668173. The next prime is 34668181. The reversal of 34668180 is 8186643.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 26749584 = 2814^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34668181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96121 + ... + 96480.

Almost surely, 234668180 is an apocalyptic number.

34668180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34668180 is an abundant number, since it is smaller than the sum of its proper divisors (70492512).

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

34668180 is a wasteful number, since it uses less digits than its factorization.

34668180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192616 (or 192611 counting only the distinct ones).

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

The square root of 34668180 is about 5887.9690895928. The cubic root of 34668180 is about 326.0696276936.

The spelling of 34668180 in words is "thirty-four million, six hundred sixty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 192601 385202 577803 770404 963005 1155606 1733409 1926010 2311212 2889015 3466818 3852020 5778030 6933636 8667045 11556060 17334090 34668180