Search a number
-
+
3328038 = 232761433
BaseRepresentation
bin1100101100100000100110
320021002012200
430230200212
51322444123
6155155330
740200510
oct14544046
96232180
103328038
11197344a
121145b46
138c6a6c
14628bb0
1545b143
hex32c826

3328038 has 48 divisors (see below), whose sum is σ = 8395296. Its totient is φ = 933120.

The previous prime is 3328037. The next prime is 3328043. The reversal of 3328038 is 8308233.

It is a super-2 number, since 2×33280382 = 22151673858888, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7470 + ... + 7902.

It is an arithmetic number, because the mean of its divisors is an integer number (174902).

Almost surely, 23328038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3328038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197648).

3328038 is an abundant number, since it is smaller than the sum of its proper divisors (5067258).

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

3328038 is a wasteful number, since it uses less digits than its factorization.

3328038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3328038 is about 1824.2910951929. The cubic root of 3328038 is about 149.3010145214.

The spelling of 3328038 in words is "three million, three hundred twenty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 433 549 854 866 1098 1281 1299 2562 2598 3031 3843 3897 6062 7686 7794 9093 18186 26413 27279 52826 54558 79239 158478 184891 237717 369782 475434 554673 1109346 1664019 3328038