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3313728 = 263211523
BaseRepresentation
bin1100101001000001000000
320020100120200
430221001000
51322014403
6155005200
740111005
oct14510100
96210520
103313728
111963720
121139800
138c03b2
146238ac
15456ca3
hex329040

3313728 has 84 divisors (see below), whose sum is σ = 10381488. Its totient is φ = 1002240.

The previous prime is 3313727. The next prime is 3313741. The reversal of 3313728 is 8273133.

3313728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3313727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6075 + ... + 6597.

Almost surely, 23313728 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 3313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190744).

3313728 is an abundant number, since it is smaller than the sum of its proper divisors (7067760).

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

3313728 is a wasteful number, since it uses less digits than its factorization.

3313728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3313728 is about 1820.3647986049. The cubic root of 3313728 is about 149.0867173844.

The spelling of 3313728 in words is "three million, three hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 523 528 576 704 792 1046 1056 1569 1584 2092 2112 3138 3168 4184 4707 5753 6276 6336 8368 9414 11506 12552 16736 17259 18828 23012 25104 33472 34518 37656 46024 50208 51777 69036 75312 92048 100416 103554 138072 150624 184096 207108 276144 301248 368192 414216 552288 828432 1104576 1656864 3313728