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34864180 = 22513134093
BaseRepresentation
bin1000010011111…
…1110000110100
32102121021122221
42010333300310
532411123210
63243132124
7602224561
oct204776064
972537587
1034864180
1118752a7a
12b814044
1372b8cc0
1448b7868
1530da1da
hex213fc34

34864180 has 24 divisors (see below), whose sum is σ = 78847272. Its totient is φ = 12872832.

The previous prime is 34864169. The next prime is 34864189. The reversal of 34864180 is 8146843.

34864180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3189796 + 31674384 = 1786^2 + 5628^2 .

It is a super-3 number, since 3×348641803 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34864189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66787 + ... + 67306.

It is an arithmetic number, because the mean of its divisors is an integer number (3285303).

Almost surely, 234864180 is an apocalyptic number.

It is an amenable number.

34864180 is an abundant number, since it is smaller than the sum of its proper divisors (43983092).

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

34864180 is a wasteful number, since it uses less digits than its factorization.

34864180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134115 (or 134113 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 34864180 is about 5904.5897401936. The cubic root of 34864180 is about 326.6829623043.

The spelling of 34864180 in words is "thirty-four million, eight hundred sixty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 134093 268186 536372 670465 1340930 1743209 2681860 3486418 6972836 8716045 17432090 34864180