Search a number
-
+
3330072 = 2336571
BaseRepresentation
bin1100101101000000011000
320021012000000
430231000120
51323030242
6155213000
740206444
oct14550030
96235000
103330072
111974a29
121147160
138c7975
14629824
1545ba4c
hex32d018

3330072 has 56 divisors (see below), whose sum is σ = 9377940. Its totient is φ = 1108080.

The previous prime is 3330053. The next prime is 3330083. The reversal of 3330072 is 2700333.

It is a super-2 number, since 2×33300722 = 22178759050368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5547 + ... + 6117.

Almost surely, 23330072 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 3330072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688970).

3330072 is an abundant number, since it is smaller than the sum of its proper divisors (6047868).

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

3330072 is an equidigital number, since it uses as much as digits as its factorization.

3330072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 3330072 is about 1824.8484868613. The cubic root of 3330072 is about 149.3314244725.

The spelling of 3330072 in words is "three million, three hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 571 648 729 972 1142 1458 1713 1944 2284 2916 3426 4568 5139 5832 6852 10278 13704 15417 20556 30834 41112 46251 61668 92502 123336 138753 185004 277506 370008 416259 555012 832518 1110024 1665036 3330072