Search a number
-
+
35334068 = 22711891289
BaseRepresentation
bin1000011011001…
…0011110110100
32110111011020012
42012302132310
533021142233
63301155352
7606222530
oct206623664
973434205
1035334068
1118a44010
12b9bbb58
137421b43
14499abc0
15317e548
hex21b27b4

35334068 has 48 divisors (see below), whose sum is σ = 78019200. Its totient is φ = 13601280.

The previous prime is 35334059. The next prime is 35334119. The reversal of 35334068 is 86043353.

35334068 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 2×353340682 = 2496992722857248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 26768 + ... + 28056.

It is an arithmetic number, because the mean of its divisors is an integer number (1625400).

Almost surely, 235334068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35334068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39009600).

35334068 is an abundant number, since it is smaller than the sum of its proper divisors (42685132).

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

35334068 is a wasteful number, since it uses less digits than its factorization.

35334068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 35334068 is about 5944.2466301458. The cubic root of 35334068 is about 328.1440597606.

The spelling of 35334068 in words is "thirty-five million, three hundred thirty-four thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 89 154 178 308 356 623 979 1246 1289 1958 2492 2578 3916 5156 6853 9023 13706 14179 18046 27412 28358 36092 56716 99253 114721 198506 229442 397012 458884 803047 1261931 1606094 2523862 3212188 5047724 8833517 17667034 35334068