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3452768 = 251117577
BaseRepresentation
bin1101001010111101100000
320111102022022
431022331200
51340442033
6202001012
741230244
oct15127540
96442268
103452768
111a49130
1211a6168
1393b777
1465c424
15483098
hex34af60

3452768 has 48 divisors (see below), whose sum is σ = 7865424. Its totient is φ = 1474560.

The previous prime is 3452759. The next prime is 3452773. The reversal of 3452768 is 8672543.

It is a happy number.

3452768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5696 + ... + 6272.

It is an arithmetic number, because the mean of its divisors is an integer number (163863).

Almost surely, 23452768 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 3452768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932712).

3452768 is an abundant number, since it is smaller than the sum of its proper divisors (4412656).

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

3452768 is a wasteful number, since it uses less digits than its factorization.

3452768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 3452768 is about 1858.1625332570. The cubic root of 3452768 is about 151.1433809079.

It can be divided in two parts, 345 and 2768, that added together give a palindrome (3113).

The spelling of 3452768 in words is "three million, four hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 577 748 1154 1496 2308 2992 4616 5984 6347 9232 9809 12694 18464 19618 25388 39236 50776 78472 101552 107899 156944 203104 215798 313888 431596 863192 1726384 3452768