Search a number
-
+
34077010 = 25111718223
BaseRepresentation
bin1000000111111…
…1100101010010
32101010021212111
42001333211102
532210431020
63214215534
7562435612
oct201774522
971107774
1034077010
1118265620
12b4b45aa
1370a1916
144750a42
152ed1d5a
hex207f952

34077010 has 32 divisors (see below), whose sum is σ = 70854912. Its totient is φ = 11662080.

The previous prime is 34076989. The next prime is 34077019. The reversal of 34077010 is 1077043.

34077010 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 2×340770102 = 2322485221080200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (34077019) 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, 7242 + ... + 10981.

It is an arithmetic number, because the mean of its divisors is an integer number (2214216).

Almost surely, 234077010 is an apocalyptic number.

34077010 is an abundant number, since it is smaller than the sum of its proper divisors (36777902).

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

34077010 is a wasteful number, since it uses less digits than its factorization.

34077010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18258.

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 34077010 is about 5837.5517128330. The cubic root of 34077010 is about 324.2055863848.

The spelling of 34077010 in words is "thirty-four million, seventy-seven thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 374 935 1870 18223 36446 91115 182230 200453 309791 400906 619582 1002265 1548955 2004530 3097910 3407701 6815402 17038505 34077010