Search a number
-
+
3345472 = 26134021
BaseRepresentation
bin1100110000110001000000
320021222010101
430300301000
51324023342
6155412144
740302364
oct14606100
96258111
103345472
111985559
121154054
13901990
146312a4
154613b7
hex330c40

3345472 has 28 divisors (see below), whose sum is σ = 7151116. Its totient is φ = 1543680.

The previous prime is 3345467. The next prime is 3345479. The reversal of 3345472 is 2745433.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 3013696 = 576^2 + 1736^2 .

It is a super-2 number, since 2×33454722 = 22384365805568, which contains 22 as substring.

It is a d-powerful number, because it can be written as 35 + 312 + 44 + 59 + 46 + 77 + 215 .

It is a self number, because there is not a number n which added to its sum of digits gives 3345472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1179 + ... + 2842.

It is an arithmetic number, because the mean of its divisors is an integer number (255397).

Almost surely, 23345472 is an apocalyptic number.

3345472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3345472 is an abundant number, since it is smaller than the sum of its proper divisors (3805644).

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

3345472 is a wasteful number, since it uses less digits than its factorization.

3345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4036 counting only the distinct ones).

The product of its digits is 10080, while the sum is 28.

The square root of 3345472 is about 1829.0631481718. The cubic root of 3345472 is about 149.5612661500.

The spelling of 3345472 in words is "three million, three hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 4021 8042 16084 32168 52273 64336 104546 128672 209092 257344 418184 836368 1672736 3345472