Search a number
-
+
3328468 = 2211213232
BaseRepresentation
bin1100101100100111010100
320021002210121
430230213110
51323002333
6155201324
740201663
oct14544724
96232717
103328468
111973800
121146244
138c7010
14628dda
1545b32d
hex32c9d4

3328468 has 54 divisors (see below), whose sum is σ = 7207802. Its totient is φ = 1335840.

The previous prime is 3328463. The next prime is 3328469. The reversal of 3328468 is 8648233.

3328468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2304324 + 1024144 = 1518^2 + 1012^2 .

It is a super-2 number, since 2×33284682 = 22157398454048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144705 + ... + 144727.

Almost surely, 23328468 is an apocalyptic number.

It is an amenable number.

3328468 is an abundant number, since it is smaller than the sum of its proper divisors (3879334).

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

3328468 is a wasteful number, since it uses less digits than its factorization.

3328468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 49 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 3328468 is about 1824.4089453848. The cubic root of 3328468 is about 149.3074444031.

It can be divided in two parts, 3328 and 468, that multiplied together give a square (1557504 = 12482).

The spelling of 3328468 in words is "three million, three hundred twenty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 92 121 143 242 253 286 299 484 506 529 572 598 1012 1058 1196 1573 2116 2783 3146 3289 5566 5819 6292 6578 6877 11132 11638 13156 13754 23276 27508 36179 64009 72358 75647 128018 144716 151294 256036 302588 832117 1664234 3328468