Search a number
-
+
34466993 = 11291031049
BaseRepresentation
bin1000001101111…
…0110010110001
32101212002211022
42003132302301
532310420433
63230425225
7565651601
oct203366261
971762738
1034466993
1118501620
12b662215
1371aa292
144812c01
15305c698
hex20decb1

34466993 has 16 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 29930880.

The previous prime is 34466983. The next prime is 34467029. The reversal of 34466993 is 39966443.

34466993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34466993 - 220 = 33418417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34466953) 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 15 ways as a sum of consecutive naturals, for example, 32333 + ... + 33381.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 234466993 is an apocalyptic number.

It is an amenable number.

34466993 is a deficient number, since it is larger than the sum of its proper divisors (4845007).

34466993 is a wasteful number, since it uses less digits than its factorization.

34466993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192.

The product of its digits is 419904, while the sum is 44.

The square root of 34466993 is about 5870.8596474452. The cubic root of 34466993 is about 325.4376525913.

The spelling of 34466993 in words is "thirty-four million, four hundred sixty-six thousand, nine hundred ninety-three".

Divisors: 1 11 29 103 319 1049 1133 2987 11539 30421 32857 108047 334631 1188517 3133363 34466993