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34049466 = 23211383449
BaseRepresentation
bin1000000111100…
…0110110111010
32101001220002100
42001320312322
532204040331
63213444230
7562262403
oct201706672
971056070
1034049466
1118246960
12b4a0676
137092219
1447449aa
152ec8ae6
hex2078dba

34049466 has 48 divisors (see below), whose sum is σ = 80870400. Its totient is φ = 10268160.

The previous prime is 34049459. The next prime is 34049471. The reversal of 34049466 is 66494043.

34049466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340494662 = 2318732269770312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34049466.

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 23 ways as a sum of consecutive naturals, for example, 75610 + ... + 76058.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 234049466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34049466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40435200).

34049466 is an abundant number, since it is smaller than the sum of its proper divisors (46820934).

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

34049466 is a wasteful number, since it uses less digits than its factorization.

34049466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 34049466 is about 5835.1920276885. The cubic root of 34049466 is about 324.1182124658.

The spelling of 34049466 in words is "thirty-four million, forty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 383 449 766 898 1149 1347 2298 2694 3447 4041 4213 4939 6894 8082 8426 9878 12639 14817 25278 29634 37917 44451 75834 88902 171967 343934 515901 1031802 1547703 1891637 3095406 3783274 5674911 11349822 17024733 34049466