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2344034203300 = 2252176012294249
BaseRepresentation
bin100010000111000011010…
…100110111011010100100
322022002100202220011202201
4202013003110313122210
5301401040224001200
64552500123544244
7331231231661026
oct42070324673244
98262322804681
102344034203300
11824110220839
1231a35838b084
1314007018117a
1481647c98016
1540e91402c6a
hex221c35376a4

2344034203300 has 72 divisors (see below), whose sum is σ = 5394726981000. Its totient is φ = 880991232000.

The previous prime is 2344034203289. The next prime is 2344034203327. The reversal of 2344034203300 is 33024304432.

It can be written as a sum of positive squares in 12 ways, for example, as 539117188516 + 1804917014784 = 734246^2 + 1343472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125425 + ... + 2168824.

It is an arithmetic number, because the mean of its divisors is an integer number (74926763625).

Almost surely, 22344034203300 is an apocalyptic number.

2344034203300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344034203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697363490500).

2344034203300 is an abundant number, since it is smaller than the sum of its proper divisors (3050692777700).

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

2344034203300 is a wasteful number, since it uses less digits than its factorization.

2344034203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294881 (or 2294874 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 2344034203300 its reverse (33024304432), we get a palindrome (2377058507732).

The spelling of 2344034203300 in words is "two trillion, three hundred forty-four billion, thirty-four million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 601 850 1202 1700 2404 3005 6010 10217 12020 15025 20434 30050 40868 51085 60100 102170 204340 255425 510850 1021700 2294249 4588498 9176996 11471245 22942490 39002233 45884980 57356225 78004466 114712450 156008932 195011165 229424900 390022330 780044660 975055825 1378843649 1950111650 2757687298 3900223300 5515374596 6894218245 13788436490 23440342033 27576872980 34471091225 46880684066 68942182450 93761368132 117201710165 137884364900 234403420330 468806840660 586008550825 1172017101650 2344034203300