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34291206 = 23223113733
BaseRepresentation
bin1000001011001…
…1111000000110
32101112011200200
42002303320012
532234304311
63222551330
7564320235
oct202637006
971464620
1034291206
11183a1544
12b598546
137148271
1447a8b1c
153025556
hex20b3e06

34291206 has 48 divisors (see below), whose sum is σ = 78320736. Its totient is φ = 10821888.

The previous prime is 34291157. The next prime is 34291207. The reversal of 34291206 is 60219243.

It is a self number, because there is not a number n which added to its sum of digits gives 34291206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34291207) 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 23 ways as a sum of consecutive naturals, for example, 46416 + ... + 47148.

It is an arithmetic number, because the mean of its divisors is an integer number (1631682).

Almost surely, 234291206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34291206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39160368).

34291206 is an abundant number, since it is smaller than the sum of its proper divisors (44029530).

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

34291206 is a wasteful number, since it uses less digits than its factorization.

34291206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34291206 is about 5855.8693632970. The cubic root of 34291206 is about 324.8834485426.

The spelling of 34291206 in words is "thirty-four million, two hundred ninety-one thousand, two hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 113 138 207 226 339 414 678 733 1017 1466 2034 2199 2599 4398 5198 6597 7797 13194 15594 16859 23391 33718 46782 50577 82829 101154 151731 165658 248487 303462 496974 745461 1490922 1905067 3810134 5715201 11430402 17145603 34291206