Search a number
-
+
33814746 = 234729819
BaseRepresentation
bin1000000011111…
…1100011011010
32100121222010000
42000333203122
532124032441
63204433430
7560264160
oct200774332
970558100
1033814746
11180a6579
12b3a8876
13700c434
1446c3230
152e7e2b6
hex203f8da

33814746 has 40 divisors (see below), whose sum is σ = 86597280. Its totient is φ = 9661032.

The previous prime is 33814733. The next prime is 33814747. The reversal of 33814746 is 64741833.

33814746 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 2×338147462 = 2286874094089032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33814746.

It is not an unprimeable number, because it can be changed into a prime (33814747) 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 19 ways as a sum of consecutive naturals, for example, 13776 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (2164932).

Almost surely, 233814746 is an apocalyptic number.

33814746 is an abundant number, since it is smaller than the sum of its proper divisors (52782534).

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

33814746 is a wasteful number, since it uses less digits than its factorization.

33814746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29840 (or 29831 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 33814746 is about 5815.0447977638. The cubic root of 33814746 is about 323.3717248730.

The spelling of 33814746 in words is "thirty-three million, eight hundred fourteen thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 29819 59638 89457 178914 208733 268371 417466 536742 626199 805113 1252398 1610226 1878597 2415339 3757194 4830678 5635791 11271582 16907373 33814746