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3240243440 = 24577098161
BaseRepresentation
bin1100000100100010…
…0011000011110000
322100211002102101022
43001020203003300
523114000242230
61253305355012
7143203420610
oct30110430360
98324072338
103240243440
11141303a945
12765198a68
133c83bc115
1422a4a2a40
1513e6ec1e5
hexc12230f0

3240243440 has 80 divisors (see below), whose sum is σ = 8622989760. Its totient is φ = 1109237760.

The previous prime is 3240243437. The next prime is 3240243491. The reversal of 3240243440 is 443420423.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 392960 + ... + 401120.

It is an arithmetic number, because the mean of its divisors is an integer number (107787372).

Almost surely, 23240243440 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 3240243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311494880).

3240243440 is an abundant number, since it is smaller than the sum of its proper divisors (5382746320).

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

3240243440 is a wasteful number, since it uses less digits than its factorization.

3240243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 3240243440 is about 56923.1362452913. The cubic root of 3240243440 is about 1479.7643038348.

Adding to 3240243440 its reverse (443420423), we get a palindrome (3683663863).

The spelling of 3240243440 in words is "three billion, two hundred forty million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 709 1418 2836 3545 4963 5672 7090 8161 9926 11344 14180 16322 19852 24815 28360 32644 39704 40805 49630 56720 57127 65288 79408 81610 99260 114254 130576 163220 198520 228508 285635 326440 397040 457016 571270 652880 914032 1142540 2285080 4570160 5786149 11572298 23144596 28930745 40503043 46289192 57861490 81006086 92578384 115722980 162012172 202515215 231445960 324024344 405030430 462891920 648048688 810060860 1620121720 3240243440