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34066844 = 2271771569
BaseRepresentation
bin1000000111110…
…1000110011100
32101002202220222
42001331012130
532210114334
63214100512
7562364150
oct201750634
971082828
1034066844
1118258a19
12b4aa738
13709a0c6
14474b060
152ecdd2e
hex207d19c

34066844 has 24 divisors (see below), whose sum is σ = 72142560. Its totient is φ = 13741056.

The previous prime is 34066843. The next prime is 34066847. The reversal of 34066844 is 44866043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35309 + ... + 36260.

It is an arithmetic number, because the mean of its divisors is an integer number (3005940).

Almost surely, 234066844 is an apocalyptic number.

34066844 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34066844 is an abundant number, since it is smaller than the sum of its proper divisors (38075716).

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

34066844 is a wasteful number, since it uses less digits than its factorization.

34066844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71597 (or 71595 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 34066844 is about 5836.6809061315. The cubic root of 34066844 is about 324.1733437106.

The spelling of 34066844 in words is "thirty-four million, sixty-six thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 71569 143138 286276 500983 1001966 1216673 2003932 2433346 4866692 8516711 17033422 34066844