Search a number
-
+
3330240 = 26353469
BaseRepresentation
bin1100101101000011000000
320021012020020
430231003000
51323031430
6155213440
740210104
oct14550300
96235206
103330240
111975071
121147280
138c7a74
14629904
1545bb10
hex32d0c0

3330240 has 56 divisors (see below), whose sum is σ = 10576560. Its totient is φ = 887808.

The previous prime is 3330227. The next prime is 3330247. The reversal of 3330240 is 420333.

It is a super-2 number, since 2×33302402 = 22180996915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3330247) 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, 775 + ... + 2694.

Almost surely, 23330240 is an apocalyptic number.

3330240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3330240 is an abundant number, since it is smaller than the sum of its proper divisors (7246320).

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

3330240 is a wasteful number, since it uses less digits than its factorization.

3330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3330240 is about 1824.8945174996. The cubic root of 3330240 is about 149.3339356552. Note that the first 3 decimals are identical.

Adding to 3330240 its reverse (420333), we get a palindrome (3750573).

It can be divided in two parts, 3330 and 240, that added together give a triangular number (3570 = T84).

The spelling of 3330240 in words is "three million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3469 6938 10407 13876 17345 20814 27752 34690 41628 52035 55504 69380 83256 104070 111008 138760 166512 208140 222016 277520 333024 416280 555040 666048 832560 1110080 1665120 3330240