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34354060 = 22513711861
BaseRepresentation
bin1000001100001…
…1001110001100
32101122100220121
42003003032030
532243312220
63224154324
7565001416
oct203031614
971570817
1034354060
1118434794
12b6089a4
13716aa60
1447c39b6
153038eaa
hex20c338c

34354060 has 48 divisors (see below), whose sum is σ = 78829632. Its totient is φ = 12499200.

The previous prime is 34354057. The next prime is 34354063. The reversal of 34354060 is 6045343.

It is an interprime number because it is at equal distance from previous prime (34354057) and next prime (34354063).

It is not an unprimeable number, because it can be changed into a prime (34354063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17530 + ... + 19390.

It is an arithmetic number, because the mean of its divisors is an integer number (1642284).

Almost surely, 234354060 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 34354060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39414816).

34354060 is an abundant number, since it is smaller than the sum of its proper divisors (44475572).

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

34354060 is a wasteful number, since it uses less digits than its factorization.

34354060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 34354060 is about 5861.2336585398. The cubic root of 34354060 is about 325.0818255508.

The spelling of 34354060 in words is "thirty-four million, three hundred fifty-four thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 1861 3692 3722 4615 7444 9230 9305 18460 18610 24193 37220 48386 96772 120965 132131 241930 264262 483860 528524 660655 1321310 1717703 2642620 3435406 6870812 8588515 17177030 34354060