Search a number
-
+
3353040 = 243254657
BaseRepresentation
bin1100110010100111010000
320022100111200
430302213100
51324244130
6155511200
740333425
oct14624720
96270450
103353040
111990209
121158500
13905262
14633d4c
15463760
hex3329d0

3353040 has 60 divisors (see below), whose sum is σ = 11263044. Its totient is φ = 893952.

The previous prime is 3353023. The next prime is 3353041. The reversal of 3353040 is 403533.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 2585664 = 876^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×33530402 = 22485754483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353041) 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, 1609 + ... + 3048.

Almost surely, 23353040 is an apocalyptic number.

3353040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3353040 is an abundant number, since it is smaller than the sum of its proper divisors (7910004).

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

3353040 is a wasteful number, since it uses less digits than its factorization.

3353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3353040 is about 1831.1307981682. The cubic root of 3353040 is about 149.6739584930.

Adding to 3353040 its reverse (403533), we get a palindrome (3756573).

It can be divided in two parts, 335 and 3040, that added together give a cube (3375 = 153).

The spelling of 3353040 in words is "three million, three hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4657 9314 13971 18628 23285 27942 37256 41913 46570 55884 69855 74512 83826 93140 111768 139710 167652 186280 209565 223536 279420 335304 372560 419130 558840 670608 838260 1117680 1676520 3353040