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34434120 = 2335740993
BaseRepresentation
bin1000001101011…
…0110001001000
32101210102201210
42003112301020
532303342440
63230013120
7565454010
oct203266110
971712653
1034434120
1118489956
12b6471a0
137198326
144804c40
153052a80
hex20d6c48

34434120 has 64 divisors (see below), whose sum is σ = 118062720. Its totient is φ = 7870464.

The previous prime is 34434097. The next prime is 34434121. The reversal of 34434120 is 2143443.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434121) 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, 19657 + ... + 21336.

It is an arithmetic number, because the mean of its divisors is an integer number (1844730).

Almost surely, 234434120 is an apocalyptic number.

34434120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34434120 is an abundant number, since it is smaller than the sum of its proper divisors (83628600).

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

34434120 is a wasteful number, since it uses less digits than its factorization.

34434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41014 (or 41010 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34434120 is about 5868.0593044038. The cubic root of 34434120 is about 325.3341572958.

Adding to 34434120 its reverse (2143443), we get a palindrome (36577563).

The spelling of 34434120 in words is "thirty-four million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 40993 81986 122979 163972 204965 245958 286951 327944 409930 491916 573902 614895 819860 860853 983832 1147804 1229790 1434755 1639720 1721706 2295608 2459580 2869510 3443412 4304265 4919160 5739020 6886824 8608530 11478040 17217060 34434120