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34689060 = 22345721923
BaseRepresentation
bin1000010001010…
…1000000100100
32102021101110000
42010111000210
532340022220
63235301300
7600565200
oct204250044
972241400
1034689060
111864344a
12b74a830
137257393
14486db00
1530a3390
hex2115024

34689060 has 360 divisors, whose sum is σ = 139043520. Its totient is φ = 7185024.

The previous prime is 34689059. The next prime is 34689097. The reversal of 34689060 is 6098643.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1508209 + ... + 1508231.

It is an arithmetic number, because the mean of its divisors is an integer number (386232).

Almost surely, 234689060 is an apocalyptic number.

34689060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34689060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

34689060 is an abundant number, since it is smaller than the sum of its proper divisors (104354460).

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

34689060 is a wasteful number, since it uses less digits than its factorization.

34689060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34689060 is about 5889.7419298302. The cubic root of 34689060 is about 326.1350764465.

The spelling of 34689060 in words is "thirty-four million, six hundred eighty-nine thousand, sixty".