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34140024 = 23321632909
BaseRepresentation
bin1000001000111…
…0111101111000
32101020111022100
42002032331320
532214440044
63215423400
7563120412
oct202167570
971214270
1034140024
11182a89a6
12b524b60
1370c44c9
1447699b2
152ee5869
hex208ef78

34140024 has 48 divisors (see below), whose sum is σ = 93061800. Its totient is φ = 11306304.

The previous prime is 34140019. The next prime is 34140031. The reversal of 34140024 is 42004143.

34140024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34139979 and 34140006.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10282 + ... + 13190.

Almost surely, 234140024 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 34140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46530900).

34140024 is an abundant number, since it is smaller than the sum of its proper divisors (58921776).

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

34140024 is a wasteful number, since it uses less digits than its factorization.

34140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34140024 is about 5842.9465169553. The cubic root of 34140024 is about 324.4052998303.

Adding to 34140024 its reverse (42004143), we get a palindrome (76144167).

The spelling of 34140024 in words is "thirty-four million, one hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2909 2934 3912 5818 5868 8727 11636 11736 17454 23272 26181 34908 52362 69816 104724 209448 474167 948334 1422501 1896668 2845002 3793336 4267503 5690004 8535006 11380008 17070012 34140024