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344322134044 = 227294719346747
BaseRepresentation
bin1010000001010110011…
…00101101000000011100
31012220202101211201112021
411000223030231000130
521120132431242134
6422102430145524
733606423564130
oct5005314550034
91186671751467
10344322134044
11123031960649
12568949522a4
1326614480225
14129457593c0
158e5384d0b4
hex502b32d01c

344322134044 has 96 divisors (see below), whose sum is σ = 731333191680. Its totient is φ = 138721185792.

The previous prime is 344322133973. The next prime is 344322134053. The reversal of 344322134044 is 440431223443.

It is a super-2 number, since 2×3443221340442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7342279 + ... + 7389025.

It is an arithmetic number, because the mean of its divisors is an integer number (7618054080).

Almost surely, 2344322134044 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 344322134044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365666595840).

344322134044 is an abundant number, since it is smaller than the sum of its proper divisors (387011057636).

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

344322134044 is a wasteful number, since it uses less digits than its factorization.

344322134044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47027 (or 47025 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 344322134044 its reverse (440431223443), we get a palindrome (784753357487).

The spelling of 344322134044 in words is "three hundred forty-four billion, three hundred twenty-two million, one hundred thirty-four thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 47 58 94 116 188 193 203 329 386 406 658 772 812 1316 1351 1363 2702 2726 5404 5452 5597 9071 9541 11194 18142 19082 22388 36284 38164 39179 46747 63497 78358 93494 126994 156716 186988 253988 263059 327229 526118 654458 1052236 1308916 1355663 1841413 2197109 2711326 3682826 4394218 5422652 7365652 8788436 9022171 9489641 15379763 18044342 18979282 30759526 36088684 37958564 61519052 63155197 63716161 126310394 127432322 252620788 254864644 261642959 424042037 446013127 523285918 848084074 892026254 1046571836 1696168148 1784052508 1831500713 2968294259 3663001426 5936588518 7326002852 11873177036 12297219073 24594438146 49188876292 86080533511 172161067022 344322134044