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34048692 = 22321974801
BaseRepresentation
bin1000000111100…
…0101010110100
32101001212000200
42001320222310
532204024232
63213440500
7562260216
oct201705264
971055020
1034048692
1118246317
12b4a0130
137091a72
1447445b6
152ec877c
hex2078ab4

34048692 has 36 divisors (see below), whose sum is σ = 86522436. Its totient is φ = 11289600.

The previous prime is 34048691. The next prime is 34048699. The reversal of 34048692 is 29684043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28259856 + 5788836 = 5316^2 + 2406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34048691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4692 + ... + 9492.

It is an arithmetic number, because the mean of its divisors is an integer number (2403401).

Almost surely, 234048692 is an apocalyptic number.

It is an amenable number.

34048692 is an abundant number, since it is smaller than the sum of its proper divisors (52473744).

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

34048692 is a wasteful number, since it uses less digits than its factorization.

34048692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34048692 is about 5835.1257055868. The cubic root of 34048692 is about 324.1157565350.

The spelling of 34048692 in words is "thirty-four million, forty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 4801 7092 9602 14403 19204 28806 43209 57612 86418 172836 945797 1891594 2837391 3783188 5674782 8512173 11349564 17024346 34048692