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3268440 = 2332571297
BaseRepresentation
bin1100011101111101011000
320011001110100
430131331120
51314042230
6154015400
736531660
oct14357530
96131410
103268440
11193269a
121117560
138a58b6
146111a0
15448660
hex31df58

3268440 has 96 divisors (see below), whose sum is σ = 12149280. Its totient is φ = 746496.

The previous prime is 3268439. The next prime is 3268451. The reversal of 3268440 is 448623.

3268440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1872 + ... + 3168.

It is an arithmetic number, because the mean of its divisors is an integer number (126555).

Almost surely, 23268440 is an apocalyptic number.

3268440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3268440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074640).

3268440 is an abundant number, since it is smaller than the sum of its proper divisors (8880840).

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

3268440 is a wasteful number, since it uses less digits than its factorization.

3268440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3268440 is about 1807.8827395603. The cubic root of 3268440 is about 148.4044210316.

The spelling of 3268440 in words is "three million, two hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 1297 2520 2594 3891 5188 6485 7782 9079 10376 11673 12970 15564 18158 19455 23346 25940 27237 31128 36316 38910 45395 46692 51880 54474 58365 72632 77820 81711 90790 93384 108948 116730 136185 155640 163422 181580 217896 233460 272370 326844 363160 408555 466920 544740 653688 817110 1089480 1634220 3268440