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34010060 = 2257277877
BaseRepresentation
bin1000000110111…
…1001111001100
32100222220000212
42001233033030
532201310220
63212541552
7562036460
oct201571714
970886025
1034010060
111821a297
12b4818b8
13707a2c6
1447344a0
152ebc0c5
hex206f3cc

34010060 has 48 divisors (see below), whose sum is σ = 82012224. Its totient is φ = 11605248.

The previous prime is 34010059. The next prime is 34010063. The reversal of 34010060 is 6001043.

34010060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (34010063) 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 15 ways as a sum of consecutive naturals, for example, 38342 + ... + 39218.

It is an arithmetic number, because the mean of its divisors is an integer number (1708588).

Almost surely, 234010060 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 34010060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41006112).

34010060 is an abundant number, since it is smaller than the sum of its proper divisors (48002164).

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

34010060 is a wasteful number, since it uses less digits than its factorization.

34010060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 34010060 is about 5831.8144689282. The cubic root of 34010060 is about 323.9931284424.

The spelling of 34010060 in words is "thirty-four million, ten thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 554 877 1108 1385 1754 1939 2770 3508 3878 4385 5540 6139 7756 8770 9695 12278 17540 19390 24556 30695 38780 61390 122780 242929 485858 971716 1214645 1700503 2429290 3401006 4858580 6802012 8502515 17005030 34010060