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34181040 = 2435142421
BaseRepresentation
bin1000001001100…
…0111110110000
32101022120120110
42002120332300
532222243130
63220341320
7563351115
oct202307660
971276513
1034181040
11183267a3
12b544840
13710a08a
14477a90c
153002ab0
hex2098fb0

34181040 has 40 divisors (see below), whose sum is σ = 105961968. Its totient is φ = 9114880.

The previous prime is 34181039. The next prime is 34181051. The reversal of 34181040 is 4018143.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34180998 and 34181016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70971 + ... + 71450.

Almost surely, 234181040 is an apocalyptic number.

34181040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34181040 is an abundant number, since it is smaller than the sum of its proper divisors (71780928).

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

34181040 is a wasteful number, since it uses less digits than its factorization.

34181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142437 (or 142431 counting only the distinct ones).

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

The square root of 34181040 is about 5846.4553363555. The cubic root of 34181040 is about 324.5351619025.

Adding to 34181040 its reverse (4018143), we get a palindrome (38199183).

The spelling of 34181040 in words is "thirty-four million, one hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 142421 284842 427263 569684 712105 854526 1139368 1424210 1709052 2136315 2278736 2848420 3418104 4272630 5696840 6836208 8545260 11393680 17090520 34181040