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34348626 = 23213229641
BaseRepresentation
bin1000001100000…
…1111001010010
32101122002110100
42003001321102
532243124001
63224113230
7564646524
oct203017122
971562410
1034348626
11184306a4
12b605816
137168440
1447c1a14
153037586
hex20c1e52

34348626 has 48 divisors (see below), whose sum is σ = 80622360. Its totient is φ = 10506240.

The previous prime is 34348621. The next prime is 34348667. The reversal of 34348626 is 62684343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34047225 + 301401 = 5835^2 + 549^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34348621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53266 + ... + 53906.

Almost surely, 234348626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34348626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40311180).

34348626 is an abundant number, since it is smaller than the sum of its proper divisors (46273734).

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

34348626 is a wasteful number, since it uses less digits than its factorization.

34348626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 888 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34348626 is about 5860.7700859187. The cubic root of 34348626 is about 325.0646845609.

The spelling of 34348626 in words is "thirty-four million, three hundred forty-eight thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 229 234 458 641 687 1282 1374 1923 2061 2977 3846 4122 5769 5954 8333 8931 11538 16666 17862 24999 26793 49998 53586 74997 146789 149994 293578 440367 880734 1321101 1908257 2642202 3816514 5724771 11449542 17174313 34348626