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34040692 = 227343577
BaseRepresentation
bin1000000111011…
…0101101110100
32101001110001101
42001312231310
532203300232
63213335444
7562225000
oct201665564
971043041
1034040692
1118240304
12b497584
13708b22a
144741700
152ec61e7
hex2076b74

34040692 has 48 divisors (see below), whose sum is σ = 71209600. Its totient is φ = 14224896.

The previous prime is 34040687. The next prime is 34040711. The reversal of 34040692 is 29604043.

34040692 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34040692.

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, 58708 + ... + 59284.

Almost surely, 234040692 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 34040692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35604800).

34040692 is an abundant number, since it is smaller than the sum of its proper divisors (37168908).

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

34040692 is a wasteful number, since it uses less digits than its factorization.

34040692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 34040692 is about 5834.4401616608. The cubic root of 34040692 is about 324.0903700566.

The spelling of 34040692 in words is "thirty-four million, forty thousand, six hundred ninety-two".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 343 577 602 686 1154 1204 1372 2107 2308 4039 4214 8078 8428 14749 16156 24811 28273 29498 49622 56546 58996 99244 113092 173677 197911 347354 395822 694708 791644 1215739 2431478 4862956 8510173 17020346 34040692