Search a number
-
+
34794930 = 2351517681
BaseRepresentation
bin1000010010111…
…0110110110010
32102110202200010
42010232312302
532401414210
63241435350
7601515642
oct204566662
972422603
1034794930
1118705a45
12b79bb56
137293621
14489a522
1530c4920
hex212edb2

34794930 has 32 divisors (see below), whose sum is σ = 84071808. Its totient is φ = 9216000.

The previous prime is 34794923. The next prime is 34794931. The reversal of 34794930 is 3949743.

34794930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (34794931) 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, 690 + ... + 8370.

It is an arithmetic number, because the mean of its divisors is an integer number (2627244).

Almost surely, 234794930 is an apocalyptic number.

34794930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34794930 is an abundant number, since it is smaller than the sum of its proper divisors (49276878).

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

34794930 is a wasteful number, since it uses less digits than its factorization.

34794930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 34794930 is about 5898.7227431030. The cubic root of 34794930 is about 326.4665244007.

The spelling of 34794930 in words is "thirty-four million, seven hundred ninety-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 151 302 453 755 906 1510 2265 4530 7681 15362 23043 38405 46086 76810 115215 230430 1159831 2319662 3479493 5799155 6958986 11598310 17397465 34794930