Search a number
-
+
3395268 = 2232372549
BaseRepresentation
bin1100111100111011000100
320101111102200
430330323010
51332122033
6200434500
740600512
oct14747304
96344380
103395268
111a09a08
121178a30
1391b546
146454b2
15471013
hex33cec4

3395268 has 36 divisors (see below), whose sum is σ = 8817900. Its totient is φ = 1100736.

The previous prime is 3395221. The next prime is 3395269. The reversal of 3395268 is 8625933.

3395268 is a `hidden beast` number, since 3 + 395 + 268 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3090564 + 304704 = 1758^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 2606.

Almost surely, 23395268 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 3395268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408950).

3395268 is an abundant number, since it is smaller than the sum of its proper divisors (5422632).

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

3395268 is a wasteful number, since it uses less digits than its factorization.

3395268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2591 counting only the distinct ones).

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

The square root of 3395268 is about 1842.6253010311. The cubic root of 3395268 is about 150.2996675969.

It can be divided in two parts, 3395 and 268, that added together give a palindrome (3663).

The spelling of 3395268 in words is "three million, three hundred ninety-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2549 5098 7647 10196 15294 22941 30588 45882 91764 94313 188626 282939 377252 565878 848817 1131756 1697634 3395268