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34037334 = 2341631289
BaseRepresentation
bin1000000111010…
…1111001010110
32101001021110000
42001311321112
532203143314
63213312130
7562212132
oct201657126
971037400
1034037334
1118238831
12b495646
137089846
1447403c2
152ec5209
hex2075e56

34037334 has 40 divisors (see below), whose sum is σ = 76796280. Its totient is φ = 11267424.

The previous prime is 34037327. The next prime is 34037431. The reversal of 34037334 is 43373043.

34037334 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 34037298 and 34037307.

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 19 ways as a sum of consecutive naturals, for example, 25762 + ... + 27050.

It is an arithmetic number, because the mean of its divisors is an integer number (1919907).

Almost surely, 234037334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34037334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38398140).

34037334 is an abundant number, since it is smaller than the sum of its proper divisors (42758946).

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

34037334 is a wasteful number, since it uses less digits than its factorization.

34037334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 34037334 is about 5834.1523805948. The cubic root of 34037334 is about 324.0797128971.

The spelling of 34037334 in words is "thirty-four million, thirty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 326 489 978 1289 1467 2578 2934 3867 4401 7734 8802 11601 13203 23202 26406 34803 69606 104409 208818 210107 420214 630321 1260642 1890963 3781926 5672889 11345778 17018667 34037334