Search a number
-
+
34680093 = 372235919
BaseRepresentation
bin1000010001001…
…0110100011101
32102020221010220
42010102310131
532334230333
63235151553
7600530100
oct204226435
972227126
1034680093
1118637738
12b7455b9
137253286
14486a737
1530a08b3
hex2112d1d

34680093 has 12 divisors (see below), whose sum is σ = 53789760. Its totient is φ = 19817112.

The previous prime is 34680053. The next prime is 34680097. The reversal of 34680093 is 39008643.

It is not a de Polignac number, because 34680093 - 26 = 34680029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34680097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117813 + ... + 118106.

It is an arithmetic number, because the mean of its divisors is an integer number (4482480).

Almost surely, 234680093 is an apocalyptic number.

It is an amenable number.

34680093 is a deficient number, since it is larger than the sum of its proper divisors (19109667).

34680093 is a wasteful number, since it uses less digits than its factorization.

34680093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235936 (or 235929 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34680093 is about 5888.9806418429. The cubic root of 34680093 is about 326.1069724347.

The spelling of 34680093 in words is "thirty-four million, six hundred eighty thousand, ninety-three".

Divisors: 1 3 7 21 49 147 235919 707757 1651433 4954299 11560031 34680093