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3326004 = 22321137227
BaseRepresentation
bin1100101100000000110100
320020222102100
430230000310
51322413004
6155142100
740161543
oct14540064
96228370
103326004
111971970
121144930
138c5b66
1462815a
1545a739
hex32c034

3326004 has 72 divisors (see below), whose sum is σ = 9461088. Its totient is φ = 976320.

The previous prime is 3325997. The next prime is 3326009. The reversal of 3326004 is 4006233.

3326004 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33260042 = 22124605216032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3326009) 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, 14539 + ... + 14765.

It is an arithmetic number, because the mean of its divisors is an integer number (131404).

Almost surely, 23326004 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 3326004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730544).

3326004 is an abundant number, since it is smaller than the sum of its proper divisors (6135084).

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

3326004 is a wasteful number, since it uses less digits than its factorization.

3326004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3326004 is about 1823.7335331676. The cubic root of 3326004 is about 149.2705921774.

It can be divided in two parts, 332 and 6004, that added together give a palindrome (6336).

The spelling of 3326004 in words is "three million, three hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 227 333 396 407 444 454 666 681 814 908 1221 1332 1362 1628 2043 2442 2497 2724 3663 4086 4884 4994 7326 7491 8172 8399 9988 14652 14982 16798 22473 25197 29964 33596 44946 50394 75591 89892 92389 100788 151182 184778 277167 302364 369556 554334 831501 1108668 1663002 3326004