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3328872 = 2331741199
BaseRepresentation
bin1100101100101101101000
320021010100120
430230231220
51323010442
6155203240
740203111
oct14545550
96233316
103328872
111974038
121146520
138c7261
14629208
1545b4ec
hex32cb68

3328872 has 64 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 1013760.

The previous prime is 3328849. The next prime is 3328879. The reversal of 3328872 is 2788233.

It is a happy number.

3328872 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33288722 = 22162777584768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3328879) 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 15 ways as a sum of consecutive naturals, for example, 16629 + ... + 16827.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 23328872 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 3328872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

3328872 is an abundant number, since it is smaller than the sum of its proper divisors (5743128).

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

3328872 is a wasteful number, since it uses less digits than its factorization.

3328872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 3328872 is about 1824.5196628154. The cubic root of 3328872 is about 149.3134849967.

The spelling of 3328872 in words is "three million, three hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 199 204 246 328 398 408 492 597 697 796 984 1194 1394 1592 2091 2388 2788 3383 4182 4776 5576 6766 8159 8364 10149 13532 16318 16728 20298 24477 27064 32636 40596 48954 65272 81192 97908 138703 195816 277406 416109 554812 832218 1109624 1664436 3328872