Search a number
-
+
12341803400 = 2352197344491
BaseRepresentation
bin10110111111010000…
…01111100110001000
31011212010021120110122
423133220033212020
5200234000202100
65400355402412
7614561412053
oct133750174610
934763246418
1012341803400
115263698623
1224852b3408
131218c0ac64
14851193a9a
154c378a985
hex2dfa0f988

12341803400 has 96 divisors (see below), whose sum is σ = 30619394400. Its totient is φ = 4612723200.

The previous prime is 12341803393. The next prime is 12341803403. The reversal of 12341803400 is 430814321.

It is a super-2 number, since 2×123418034002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12341803400.

It is not an unprimeable number, because it can be changed into a prime (12341803403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255155 + ... + 299645.

It is an arithmetic number, because the mean of its divisors is an integer number (318952025).

Almost surely, 212341803400 is an apocalyptic number.

12341803400 is a gapful number since it is divisible by the number (10) 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 12341803400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309697200).

12341803400 is an abundant number, since it is smaller than the sum of its proper divisors (18277591000).

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

12341803400 is a wasteful number, since it uses less digits than its factorization.

12341803400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44599 (or 44590 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 12341803400 in words is "twelve billion, three hundred forty-one million, eight hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 73 76 95 100 146 152 190 200 292 365 380 475 584 730 760 950 1387 1460 1825 1900 2774 2920 3650 3800 5548 6935 7300 11096 13870 14600 27740 34675 44491 55480 69350 88982 138700 177964 222455 277400 355928 444910 845329 889820 1112275 1690658 1779640 2224550 3247843 3381316 4226645 4449100 6495686 6762632 8453290 8898200 12991372 16239215 16906580 21133225 25982744 32478430 33813160 42266450 61709017 64956860 81196075 84532900 123418034 129913720 162392150 169065800 246836068 308545085 324784300 493672136 617090170 649568600 1234180340 1542725425 2468360680 3085450850 6170901700 12341803400