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3242880 = 27325563
BaseRepresentation
bin1100010111101110000000
320002202101200
430113232000
51312233010
6153301200
736364314
oct14275600
96082350
103242880
111915473
121104800
13897084
14605b44
15440cc0
hex317b80

3242880 has 96 divisors (see below), whose sum is σ = 11217960. Its totient is φ = 863232.

The previous prime is 3242851. The next prime is 3242881. The reversal of 3242880 is 882423.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242881) 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, 5479 + ... + 6041.

Almost surely, 23242880 is an apocalyptic number.

3242880 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 3242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608980).

3242880 is an abundant number, since it is smaller than the sum of its proper divisors (7975080).

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

3242880 is a wasteful number, since it uses less digits than its factorization.

3242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3242880 is about 1800.7998223012. The cubic root of 3242880 is about 148.0165552457.

The spelling of 3242880 in words is "three million, two hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 563 576 640 720 960 1126 1152 1440 1689 1920 2252 2815 2880 3378 4504 5067 5630 5760 6756 8445 9008 10134 11260 13512 16890 18016 20268 22520 25335 27024 33780 36032 40536 45040 50670 54048 67560 72064 81072 90080 101340 108096 135120 162144 180160 202680 216192 270240 324288 360320 405360 540480 648576 810720 1080960 1621440 3242880