Search a number
-
+
4338079424 = 2674325237
BaseRepresentation
bin1000000101001000…
…11101011011000000
3102012022212021020022
410002210131123000
532341022020144
61554244033012
7212334031610
oct40244353300
912168767208
104338079424
111926807308
12a10992768
13541992b03
142d21daa40
151a5ca6cee
hex10291d6c0

4338079424 has 84 divisors (see below), whose sum is σ = 10074182544. Its totient is φ = 1815593472.

The previous prime is 4338079399. The next prime is 4338079429. The reversal of 4338079424 is 4249708334.

It is not an unprimeable number, because it can be changed into a prime (4338079429) 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, 825734 + ... + 830970.

Almost surely, 24338079424 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 4338079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037091272).

4338079424 is an abundant number, since it is smaller than the sum of its proper divisors (5736103120).

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

4338079424 is an equidigital number, since it uses as much as digits as its factorization.

4338079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The square root of 4338079424 is about 65864.0981415520. The cubic root of 4338079424 is about 1630.9194035269.

The spelling of 4338079424 in words is "four billion, three hundred thirty-eight million, seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 1849 2408 2752 3698 4816 5237 7396 9632 10474 12943 14792 19264 20948 25886 29584 36659 41896 51772 59168 73318 83792 103544 118336 146636 167584 207088 225191 293272 335168 414176 450382 586544 828352 900764 1173088 1576337 1801528 2346176 3152674 3603056 6305348 7206112 9683213 12610696 14412224 19366426 25221392 38732852 50442784 67782491 77465704 100885568 135564982 154931408 271129964 309862816 542259928 619725632 1084519856 2169039712 4338079424