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2343404100 = 22352171992309
BaseRepresentation
bin1000101110101101…
…1000001001000100
320001022112021002110
42023223120021010
514244402412400
61024311141020
7112033414632
oct21353301104
96038467073
102343404100
11aa2877204
12554974770
132b466125b
1418332a352
15daae6e50
hex8bad8244

2343404100 has 144 divisors (see below), whose sum is σ = 7218288000. Its totient is φ = 584939520.

The previous prime is 2343404093. The next prime is 2343404113. The reversal of 2343404100 is 14043432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013746 + ... + 1016054.

It is an arithmetic number, because the mean of its divisors is an integer number (50127000).

Almost surely, 22343404100 is an apocalyptic number.

2343404100 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 2343404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609144000).

2343404100 is an abundant number, since it is smaller than the sum of its proper divisors (4874883900).

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

2343404100 is a wasteful number, since it uses less digits than its factorization.

2343404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2343404100 is about 48408.7192559357. The cubic root of 2343404100 is about 1328.2578618457.

Adding to 2343404100 its reverse (14043432), we get a palindrome (2357447532).

The spelling of 2343404100 in words is "two billion, three hundred forty-three million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 199 204 255 300 340 398 425 510 597 796 850 995 1020 1194 1275 1700 1990 2309 2388 2550 2985 3383 3980 4618 4975 5100 5970 6766 6927 9236 9950 10149 11545 11940 13532 13854 14925 16915 19900 20298 23090 27708 29850 33830 34635 39253 40596 46180 50745 57725 59700 67660 69270 78506 84575 101490 115450 117759 138540 157012 169150 173175 196265 202980 230900 235518 253725 338300 346350 392530 459491 471036 507450 588795 692700 785060 918982 981325 1014900 1177590 1378473 1837964 1962650 2297455 2355180 2756946 2943975 3925300 4594910 5513892 5887950 6892365 7811347 9189820 11487275 11775900 13784730 15622694 22974550 23434041 27569460 31245388 34461825 39056735 45949100 46868082 68923650 78113470 93736164 117170205 137847300 156226940 195283675 234340410 390567350 468680820 585851025 781134700 1171702050 2343404100