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34026804 = 223671667
BaseRepresentation
bin1000000111001…
…1010100110100
32101000202000000
42001303110310
532202324204
63213151300
7562136340
oct201632464
971022000
1034026804
1118230929
12b48b530
137084b06
14473a620
152ec2039
hex2073534

34026804 has 84 divisors (see below), whose sum is σ = 102094944. Its totient is φ = 9716112.

The previous prime is 34026787. The next prime is 34026823. The reversal of 34026804 is 40862043.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 19579 + ... + 21245.

It is an arithmetic number, because the mean of its divisors is an integer number (1215416).

Almost surely, 234026804 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 34026804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51047472).

34026804 is an abundant number, since it is smaller than the sum of its proper divisors (68068140).

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

34026804 is a wasteful number, since it uses less digits than its factorization.

34026804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34026804 is about 5833.2498660695. The cubic root of 34026804 is about 324.0462896826.

Adding to 34026804 its reverse (40862043), we get a palindrome (74888847).

The spelling of 34026804 in words is "thirty-four million, twenty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1667 1701 2268 2916 3334 3402 5001 5103 6668 6804 10002 10206 11669 15003 20004 20412 23338 30006 35007 45009 46676 60012 70014 90018 105021 135027 140028 180036 210042 270054 315063 405081 420084 540108 630126 810162 945189 1215243 1260252 1620324 1890378 2430486 2835567 3780756 4860972 5671134 8506701 11342268 17013402 34026804