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2343400204200 = 23352112383185993
BaseRepresentation
bin100010000110011101100…
…010010110011110101000
322022000201120220200111120
4202012131202112132220
5301343240423013300
64552313155055240
7331206433036116
oct42063542263650
98260646820446
102343400204200
11823915360940
1231a1bbba1520
1313cc9ba10283
14815c79c0ab6
1540e5591b3a0
hex2219d8967a8

2343400204200 has 384 divisors, whose sum is σ = 8369194337280. Its totient is φ = 536847308800.

The previous prime is 2343400204151. The next prime is 2343400204231. The reversal of 2343400204200 is 24020043432.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 12506404 + ... + 12692396.

It is an arithmetic number, because the mean of its divisors is an integer number (21794776920).

Almost surely, 22343400204200 is an apocalyptic number.

2343400204200 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 2343400204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184597168640).

2343400204200 is an abundant number, since it is smaller than the sum of its proper divisors (6025794133080).

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

2343400204200 is a wasteful number, since it uses less digits than its factorization.

2343400204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186129 (or 186120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2343400204200 its reverse (24020043432), we get a palindrome (2367420247632).

The spelling of 2343400204200 in words is "two trillion, three hundred forty-three billion, four hundred million, two hundred four thousand, two hundred".