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3332664 = 233437139
BaseRepresentation
bin1100101101101000111000
320021022120000
430231220320
51323121124
6155233000
740220136
oct14555070
96238500
103332664
111976975
121148760
138c8bba
1462a756
1545c6c9
hex32da38

3332664 has 80 divisors (see below), whose sum is σ = 9655800. Its totient is φ = 1073088.

The previous prime is 3332617. The next prime is 3332687. The reversal of 3332664 is 4662333.

3332664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33326642 = 22213298673792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 23907 + ... + 24045.

Almost surely, 23332664 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 3332664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827900).

3332664 is an abundant number, since it is smaller than the sum of its proper divisors (6323136).

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

3332664 is a wasteful number, since it uses less digits than its factorization.

3332664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3332664 is about 1825.5585446652. The cubic root of 3332664 is about 149.3701590373.

Adding to 3332664 its reverse (4662333), we get a palindrome (7994997).

The spelling of 3332664 in words is "three million, three hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 139 148 162 216 222 278 296 324 333 417 444 556 648 666 834 888 999 1112 1251 1332 1668 1998 2502 2664 2997 3336 3753 3996 5004 5143 5994 7506 7992 10008 10286 11259 11988 15012 15429 20572 22518 23976 30024 30858 41144 45036 46287 61716 90072 92574 123432 138861 185148 277722 370296 416583 555444 833166 1110888 1666332 3332664