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34041656 = 2311323139
BaseRepresentation
bin1000000111011…
…0111100111000
32101001111101002
42001312330320
532203313111
63213344132
7562230545
oct201667470
971044332
1034041656
1118241000
12b498048
13708b7bc
144741bcc
152ec663b
hex2076f38

34041656 has 64 divisors (see below), whose sum is σ = 73785600. Its totient is φ = 14694240.

The previous prime is 34041647. The next prime is 34041659. The reversal of 34041656 is 65614043.

It is a happy number.

34041656 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 not an unprimeable number, because it can be changed into a prime (34041659) by changing a digit.

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, 244835 + ... + 244973.

It is an arithmetic number, because the mean of its divisors is an integer number (1152900).

Almost surely, 234041656 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 34041656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36892800).

34041656 is an abundant number, since it is smaller than the sum of its proper divisors (39743944).

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

34041656 is a wasteful number, since it uses less digits than its factorization.

34041656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 34041656 is about 5834.5227739722. The cubic root of 34041656 is about 324.0934293380.

Adding to 34041656 its reverse (65614043), we get a palindrome (99655699).

The spelling of 34041656 in words is "thirty-four million, forty-one thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 139 184 242 253 278 484 506 556 968 1012 1112 1331 1529 2024 2662 2783 3058 3197 5324 5566 6116 6394 10648 11132 12232 12788 16819 22264 25576 30613 33638 35167 61226 67276 70334 122452 134552 140668 185009 244904 281336 370018 386837 740036 773674 1480072 1547348 3094696 4255207 8510414 17020828 34041656