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3344303434220 = 2257231103941617
BaseRepresentation
bin110000101010101000000…
…001001010100111101100
3102211201020020220221122022
4300222220001022213230
5414243113134343340
611040203553005312
7463421646105620
oct60525001124754
912751206827568
103344303434220
11107a347114921
12460194553838
131b349c163738
14b7c17d85180
155bed65eb3b5
hex30aa804a9ec

3344303434220 has 96 divisors (see below), whose sum is σ = 8382901137408. Its totient is φ = 1095769838592.

The previous prime is 3344303434207. The next prime is 3344303434223. The reversal of 3344303434220 is 224343034433.

It is a super-2 number, since 2×33443034342202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3344303434223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3080852 + ... + 4022468.

It is an arithmetic number, because the mean of its divisors is an integer number (87321886848).

Almost surely, 23344303434220 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 3344303434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191450568704).

3344303434220 is an abundant number, since it is smaller than the sum of its proper divisors (5038597703188).

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

3344303434220 is a wasteful number, since it uses less digits than its factorization.

3344303434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942759 (or 942757 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 3344303434220 its reverse (224343034433), we get a palindrome (3568646468653).

The spelling of 3344303434220 in words is "three trillion, three hundred forty-four billion, three hundred three million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1103 1610 2206 3220 4412 5515 7721 11030 15442 22060 25369 30884 38605 50738 77210 101476 126845 154420 177583 253690 355166 507380 710332 887915 941617 1775830 1883234 3551660 3766468 4708085 6591319 9416170 13182638 18832340 21657191 26365276 32956595 43314382 65913190 86628764 108285955 131826380 151600337 216571910 303200674 433143820 606401348 758001685 1038603551 1516003370 2077207102 3032006740 4154414204 5193017755 7270224857 10386035510 14540449714 20772071020 23887881673 29080899428 36351124285 47775763346 72702248570 95551526692 119439408365 145404497140 167215171711 238878816730 334430343422 477757633460 668860686844 836075858555 1672151717110 3344303434220