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243243011400 = 23352523775153
BaseRepresentation
bin1110001010001001101…
…0011100110101001000
3212020212000122021022020
43202202122130311020
512441130202331100
6303424433524440
723400534324354
oct3424232346510
9766760567266
10243243011400
119418237a754
123b185713720
1319c2621c69c
14bab7272464
1564d9a035a0
hex38a269cd48

243243011400 has 96 divisors (see below), whose sum is σ = 755496094560. Its totient is φ = 64740695040.

The previous prime is 243243011381. The next prime is 243243011437. The reversal of 243243011400 is 4110342342.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73777 + ... + 701376.

It is an arithmetic number, because the mean of its divisors is an integer number (7869750985).

Almost surely, 2243243011400 is an apocalyptic number.

243243011400 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 243243011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377748047280).

243243011400 is an abundant number, since it is smaller than the sum of its proper divisors (512253083160).

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

243243011400 is a wasteful number, since it uses less digits than its factorization.

243243011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775695 (or 775686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 243243011400 its reverse (4110342342), we get a palindrome (247353353742).

The spelling of 243243011400 in words is "two hundred forty-three billion, two hundred forty-three million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 523 600 1046 1569 2092 2615 3138 4184 5230 6276 7845 10460 12552 13075 15690 20920 26150 31380 39225 52300 62760 78450 104600 156900 313800 775153 1550306 2325459 3100612 3875765 4650918 6201224 7751530 9301836 11627295 15503060 18603672 19378825 23254590 31006120 38757650 46509180 58136475 77515300 93018360 116272950 155030600 232545900 405405019 465091800 810810038 1216215057 1621620076 2027025095 2432430114 3243240152 4054050190 4864860228 6081075285 8108100380 9729720456 10135125475 12162150570 16216200760 20270250950 24324301140 30405376425 40540501900 48648602280 60810752850 81081003800 121621505700 243243011400