Search a number
-
+
34199011 = 721167947
BaseRepresentation
bin1000001001110…
…1010111100011
32101100111020001
42002131113203
532223332021
63221000431
7563454400
oct202352743
971314201
1034199011
1118339250
12b553117
137115302
1447832a7
153008091
hex209d5e3

34199011 has 24 divisors (see below), whose sum is σ = 44093376. Its totient is φ = 26223120.

The previous prime is 34198981. The next prime is 34199027. The reversal of 34199011 is 11099143.

It is a happy number.

34199011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34199011 - 211 = 34196963 is a prime.

It is a super-3 number, since 3×341990113 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34199311) by changing a digit.

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, 35640 + ... + 36586.

It is an arithmetic number, because the mean of its divisors is an integer number (1837224).

Almost surely, 234199011 is an apocalyptic number.

34199011 is a deficient number, since it is larger than the sum of its proper divisors (9894365).

34199011 is a wasteful number, since it uses less digits than its factorization.

34199011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 34199011 is about 5847.9920485582. The cubic root of 34199011 is about 324.5920277320.

The spelling of 34199011 in words is "thirty-four million, one hundred ninety-nine thousand, eleven".

Divisors: 1 7 11 49 67 77 469 539 737 947 3283 5159 6629 10417 36113 46403 63449 72919 444143 510433 697939 3109001 4885573 34199011