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34265010 = 23513103853
BaseRepresentation
bin1000001010110…
…1011110110010
32101110211202110
42002231132302
532232440020
63222230150
7564150663
oct202553662
971424673
1034265010
111838389a
12b585356
137139370
14479d36a
15301c8e0
hex20ad7b2

34265010 has 64 divisors (see below), whose sum is σ = 89526528. Its totient is φ = 8342784.

The previous prime is 34265003. The next prime is 34265059. The reversal of 34265010 is 1056243.

It is a happy number.

34265010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39744 + ... + 40596.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 234265010 is an apocalyptic number.

34265010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34265010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44763264).

34265010 is an abundant number, since it is smaller than the sum of its proper divisors (55261518).

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

34265010 is a wasteful number, since it uses less digits than its factorization.

34265010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 34265010 is about 5853.6322057335. The cubic root of 34265010 is about 324.8006983188.

The spelling of 34265010 in words is "thirty-four million, two hundred sixty-five thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 195 206 309 390 515 618 853 1030 1339 1545 1706 2559 2678 3090 4017 4265 5118 6695 8034 8530 11089 12795 13390 20085 22178 25590 33267 40170 55445 66534 87859 110890 166335 175718 263577 332670 439295 527154 878590 1142167 1317885 2284334 2635770 3426501 5710835 6853002 11421670 17132505 34265010