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34045140 = 2235647877
BaseRepresentation
bin1000000111011…
…1110011010100
32101001200011010
42001313303110
532203421030
63213412220
7562243653
oct201676324
971050133
1034045140
1118243688
12b49a070
13709026c
14474319a
152ec76b0
hex2077cd4

34045140 has 48 divisors (see below), whose sum is σ = 95582592. Its totient is φ = 9054336.

The previous prime is 34045127. The next prime is 34045171. The reversal of 34045140 is 4154043.

34045140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 38382 + ... + 39258.

It is an arithmetic number, because the mean of its divisors is an integer number (1991304).

Almost surely, 234045140 is an apocalyptic number.

34045140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34045140 is an abundant number, since it is smaller than the sum of its proper divisors (61537452).

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

34045140 is a wasteful number, since it uses less digits than its factorization.

34045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 34045140 is about 5834.8213340256. The cubic root of 34045140 is about 324.1044854295.

Adding to 34045140 its reverse (4154043), we get a palindrome (38199183).

The spelling of 34045140 in words is "thirty-four million, forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 647 877 1294 1754 1941 2588 2631 3235 3508 3882 4385 5262 6470 7764 8770 9705 10524 12940 13155 17540 19410 26310 38820 52620 567419 1134838 1702257 2269676 2837095 3404514 5674190 6809028 8511285 11348380 17022570 34045140