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34161138 = 23211374663
BaseRepresentation
bin1000001001010…
…0000111110010
32101021120021100
42002110013302
532221124023
63220105230
7563236104
oct202240762
971246240
1034161138
1118312850
12b535216
137100cbb
144773574
152eebc43
hex20941f2

34161138 has 48 divisors (see below), whose sum is σ = 82944576. Its totient is φ = 10069920.

The previous prime is 34161121. The next prime is 34161161. The reversal of 34161138 is 83116143.

34161138 is a `hidden beast` number, since 3 + 41 + 611 + 3 + 8 = 666.

It is a super-3 number, since 3×341611383 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4995 + ... + 9657.

It is an arithmetic number, because the mean of its divisors is an integer number (1728012).

Almost surely, 234161138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34161138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472288).

34161138 is an abundant number, since it is smaller than the sum of its proper divisors (48783438).

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

34161138 is a wasteful number, since it uses less digits than its factorization.

34161138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4716 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 34161138 is about 5844.7530315660. The cubic root of 34161138 is about 324.4721625246.

It can be divided in two parts, 3416 and 1138, that added together give a palindrome (4554).

The spelling of 34161138 in words is "thirty-four million, one hundred sixty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 4663 7326 9326 13989 27978 41967 51293 83934 102586 153879 172531 307758 345062 461637 517593 923274 1035186 1552779 1897841 3105558 3795682 5693523 11387046 17080569 34161138