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3325344 = 253114767
BaseRepresentation
bin1100101011110110100000
320020221111220
430223312200
51322402334
6155135040
740156611
oct14536640
96227456
103325344
111971420
121144480
138c5779
14627c08
1545a449
hex32bda0

3325344 has 96 divisors (see below), whose sum is σ = 9870336. Its totient is φ = 971520.

The previous prime is 3325331. The next prime is 3325349. The reversal of 3325344 is 4435233.

3325344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33253442 = 22115825436672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3325349) 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, 49599 + ... + 49665.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

Almost surely, 23325344 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 3325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935168).

3325344 is an abundant number, since it is smaller than the sum of its proper divisors (6544992).

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

3325344 is a wasteful number, since it uses less digits than its factorization.

3325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 4320, while the sum is 24.

The square root of 3325344 is about 1823.5525767030. The cubic root of 3325344 is about 149.2607179551.

The spelling of 3325344 in words is "three million, three hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 67 88 94 96 132 134 141 176 188 201 264 268 282 352 376 402 517 528 536 564 737 752 804 1034 1056 1072 1128 1474 1504 1551 1608 2068 2144 2211 2256 2948 3102 3149 3216 4136 4422 4512 5896 6204 6298 6432 8272 8844 9447 11792 12408 12596 16544 17688 18894 23584 24816 25192 34639 35376 37788 49632 50384 69278 70752 75576 100768 103917 138556 151152 207834 277112 302304 415668 554224 831336 1108448 1662672 3325344