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3322442240 = 2951399833
BaseRepresentation
bin1100011000001000…
…0111001000000000
322120112202112221022
43012002013020000
523301021122430
61305403245012
7145222202345
oct30602071000
98515675838
103322442240
111455483037
12788819768
1340c43c270
1423737c7cc
15146a374e5
hexc6087200

3322442240 has 80 divisors (see below), whose sum is σ = 8578935288. Its totient is φ = 1226735616.

The previous prime is 3322442237. The next prime is 3322442273. The reversal of 3322442240 is 422442233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1718599936 + 1603842304 = 41456^2 + 40048^2 .

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

It is a super-2 number, since 2×33224422402 = 22077244876272435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16637 + ... + 83196.

Almost surely, 23322442240 is an apocalyptic number.

It is an amenable number.

3322442240 is an abundant number, since it is smaller than the sum of its proper divisors (5256493048).

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

3322442240 is an equidigital number, since it uses as much as digits as its factorization.

3322442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99869 (or 99853 counting only the distinct ones).

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

The square root of 3322442240 is about 57640.6301145295. The cubic root of 3322442240 is about 1492.1728938307.

Adding to 3322442240 its reverse (422442233), we get a palindrome (3744884473).

The spelling of 3322442240 in words is "three billion, three hundred twenty-two million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 99833 199666 399332 499165 798664 998330 1297829 1597328 1996660 2595658 3194656 3993320 5191316 6389312 6489145 7986640 10382632 12778624 12978290 15973280 20765264 25557248 25956580 31946560 41530528 51114496 51913160 63893120 83061056 103826320 127786240 166122112 207652640 255572480 332244224 415305280 664488448 830610560 1661221120 3322442240