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34118040 = 23351125847
BaseRepresentation
bin1000001000100…
…1100110011000
32101012101011010
42002021212120
532213234130
63215133520
7562666335
oct202114630
971171133
1034118040
1118293430
12b5142a0
1370b74b8
14476198c
152ede0b0
hex2089998

34118040 has 64 divisors (see below), whose sum is σ = 111663360. Its totient is φ = 8270720.

The previous prime is 34118017. The next prime is 34118041. The reversal of 34118040 is 4081143.

It is a junction number, because it is equal to n+sod(n) for n = 34117998 and 34118016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34118041) 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, 11604 + ... + 14243.

It is an arithmetic number, because the mean of its divisors is an integer number (1744740).

Almost surely, 234118040 is an apocalyptic number.

34118040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34118040 is an abundant number, since it is smaller than the sum of its proper divisors (77545320).

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

34118040 is a wasteful number, since it uses less digits than its factorization.

34118040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25872 (or 25868 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 34118040 is about 5841.0649713901. The cubic root of 34118040 is about 324.3356527650.

Adding to 34118040 its reverse (4081143), we get a palindrome (38199183).

It can be divided in two parts, 341 and 18040, that added together give a palindrome (18381).

The spelling of 34118040 in words is "thirty-four million, one hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 25847 51694 77541 103388 129235 155082 206776 258470 284317 310164 387705 516940 568634 620328 775410 852951 1033880 1137268 1421585 1550820 1705902 2274536 2843170 3101640 3411804 4264755 5686340 6823608 8529510 11372680 17059020 34118040