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3433768 = 2313137241
BaseRepresentation
bin1101000110010100101000
320110110020121
431012110220
51334340033
6201333024
741120662
oct15062450
96413217
103433768
111a35928
121197174
13932c20
14655532
1547c62d
hex346528

3433768 has 32 divisors (see below), whose sum is σ = 7013160. Its totient is φ = 1566720.

The previous prime is 3433753. The next prime is 3433769. The reversal of 3433768 is 8673343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2883204 + 550564 = 1698^2 + 742^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (3433769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14128 + ... + 14368.

Almost surely, 23433768 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 3433768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506580).

3433768 is an abundant number, since it is smaller than the sum of its proper divisors (3579392).

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

3433768 is a wasteful number, since it uses less digits than its factorization.

3433768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 3433768 is about 1853.0429029032. The cubic root of 3433768 is about 150.8656319696.

The spelling of 3433768 in words is "three million, four hundred thirty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 137 241 274 482 548 964 1096 1781 1928 3133 3562 6266 7124 12532 14248 25064 33017 66034 132068 264136 429221 858442 1716884 3433768