[go: up one dir, main page]

Search a number
-
+
3429594 = 233743211
BaseRepresentation
bin1101000101010011011010
320110020112000
431011103122
51334221334
6201301430
741102550
oct15052332
96406460
103429594
111a32783
121194876
1393105c
14653bd0
1547b299
hex3454da

3429594 has 64 divisors (see below), whose sum is σ = 8954880. Its totient is φ = 952560.

The previous prime is 3429593. The next prime is 3429617. The reversal of 3429594 is 4959243.

3429594 = 72 + 82 + ... + 2172.

3429594 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3429593) 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 31 ways as a sum of consecutive naturals, for example, 16149 + ... + 16359.

It is an arithmetic number, because the mean of its divisors is an integer number (139920).

Almost surely, 23429594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477440).

3429594 is an abundant number, since it is smaller than the sum of its proper divisors (5525286).

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

3429594 is a wasteful number, since it uses less digits than its factorization.

3429594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3429594 is about 1851.9163048043. The cubic root of 3429594 is about 150.8044777240.

The spelling of 3429594 in words is "three million, four hundred twenty-nine thousand, five hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 211 258 301 378 387 422 602 633 774 903 1161 1266 1477 1806 1899 2322 2709 2954 3798 4431 5418 5697 8127 8862 9073 11394 13293 16254 18146 26586 27219 39879 54438 63511 79758 81657 127022 163314 190533 244971 381066 489942 571599 1143198 1714797 3429594