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3220443240 = 233575372337
BaseRepresentation
bin1011111111110100…
…0001000001101000
322022102211110121120
42333331001001220
523043413140430
61251321135240
7142543213230
oct27775010150
98272743546
103220443240
111402946743
1275a62a520
133c4278921
142279cacc0
1513cada610
hexbff41068

3220443240 has 128 divisors (see below), whose sum is σ = 11250005760. Its totient is φ = 722202624.

The previous prime is 3220443221. The next prime is 3220443241. The reversal of 3220443240 is 423440223.

3220443240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3220443240.

It is not an unprimeable number, because it can be changed into a prime (3220443241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8352 + ... + 80688.

It is an arithmetic number, because the mean of its divisors is an integer number (87890670).

Almost surely, 23220443240 is an apocalyptic number.

3220443240 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 3220443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625002880).

3220443240 is an abundant number, since it is smaller than the sum of its proper divisors (8029562520).

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

3220443240 is a wasteful number, since it uses less digits than its factorization.

3220443240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72411 (or 72407 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3220443240 is about 56748.9492413736. The cubic root of 3220443240 is about 1476.7440047229.

Adding to 3220443240 its reverse (423440223), we get a palindrome (3643883463).

The spelling of 3220443240 in words is "three billion, two hundred twenty million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 22260 44520 72337 144674 217011 289348 361685 434022 506359 578696 723370 868044 1012718 1085055 1446740 1519077 1736088 2025436 2170110 2531795 2893480 3038154 3833861 4050872 4340220 5063590 6076308 7595385 7667722 8680440 10127180 11501583 12152616 15190770 15335444 19169305 20254360 23003166 26837027 30381540 30670888 38338610 46006332 53674054 57507915 60763080 76677220 80511081 92012664 107348108 115015830 134185135 153354440 161022162 214696216 230031660 268370270 322044324 402555405 460063320 536740540 644088648 805110810 1073481080 1610221620 3220443240