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243314079400 = 23527376177003
BaseRepresentation
bin1110001010011010100…
…1100011011010101000
3212021000222100220021101
43202212221203122220
512441301401020100
6303435453051144
723402356356610
oct3424651433250
9767028326241
10243314079400
1194209500137
123b1a5486ab4
1319c37b73362
14bac2891a40
1564e0d9086a
hex38a6a636a8

243314079400 has 192 divisors, whose sum is σ = 674887697280. Its totient is φ = 79835673600.

The previous prime is 243314079389. The next prime is 243314079403. The reversal of 243314079400 is 4970413342.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 243314079400.

It is not an unprimeable number, because it can be changed into a prime (243314079403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3121299 + ... + 3198301.

It is an arithmetic number, because the mean of its divisors is an integer number (3515040090).

Almost surely, 2243314079400 is an apocalyptic number.

243314079400 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 243314079400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337443848640).

243314079400 is an abundant number, since it is smaller than the sum of its proper divisors (431573617880).

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

243314079400 is a wasteful number, since it uses less digits than its factorization.

243314079400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77124 (or 77115 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 243314079400 in words is "two hundred forty-three billion, three hundred fourteen million, seventy-nine thousand, four hundred".