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3282430040 = 235173125023
BaseRepresentation
bin1100001110100101…
…1110100001011000
322110202110201111222
43003221132201120
523210300230130
61301413511212
7144225123611
oct30351364130
98422421458
103282430040
1114349342aa
12777342508
1340406ccc6
14231d24c08
15143281ce5
hexc3a5e858

3282430040 has 96 divisors (see below), whose sum is σ = 8081907840. Its totient is φ = 1195637760.

The previous prime is 3282430003. The next prime is 3282430043. The reversal of 3282430040 is 400342823.

It is a junction number, because it is equal to n+sod(n) for n = 3282429991 and 3282430009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282430043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650969 + ... + 655991.

It is an arithmetic number, because the mean of its divisors is an integer number (84186540).

Almost surely, 23282430040 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 3282430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040953920).

3282430040 is an abundant number, since it is smaller than the sum of its proper divisors (4799477800).

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

3282430040 is a wasteful number, since it uses less digits than its factorization.

3282430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 3282430040 is about 57292.4954946108. The cubic root of 3282430040 is about 1486.1586018417.

Adding to 3282430040 its reverse (400342823), we get a palindrome (3682772863).

The spelling of 3282430040 in words is "three billion, two hundred eighty-two million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 961 1054 1240 1922 2108 2635 3844 4216 4805 5023 5270 7688 9610 10046 10540 16337 19220 20092 21080 25115 32674 38440 40184 50230 65348 81685 85391 100460 130696 155713 163370 170782 200920 311426 326740 341564 426955 622852 653480 683128 778565 853910 1245704 1557130 1707820 2647121 3114260 3415640 4827103 5294242 6228520 9654206 10588484 13235605 19308412 21176968 24135515 26471210 38616824 48271030 52942420 82060751 96542060 105884840 164121502 193084120 328243004 410303755 656486008 820607510 1641215020 3282430040