Search a number
-
+
243551400 = 233521014019
BaseRepresentation
bin11101000010001…
…00110010101000
3121222021200201020
432201010302220
5444322121100
640100052440
76015103251
oct1641046250
9558250636
10243551400
11115529854
1269694120
133b5c5471
14244bbb28
15165ad5a0
hexe844ca8

243551400 has 96 divisors (see below), whose sum is σ = 762674400. Its totient is φ = 64288000.

The previous prime is 243551359. The next prime is 243551423. The reversal of 243551400 is 4155342.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58591 + ... + 62609.

It is an arithmetic number, because the mean of its divisors is an integer number (7944525).

Almost surely, 2243551400 is an apocalyptic number.

243551400 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 243551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381337200).

243551400 is an abundant number, since it is smaller than the sum of its proper divisors (519123000).

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

243551400 is a wasteful number, since it uses less digits than its factorization.

243551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 243551400 is about 15606.1334096566. The cubic root of 243551400 is about 624.4967896223.

It can be divided in two parts, 243551 and 400, that added together give a triangular number (243951 = T698).

The spelling of 243551400 in words is "two hundred forty-three million, five hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4019 4040 5050 6060 7575 8038 10100 12057 12120 15150 16076 20095 20200 24114 30300 32152 40190 48228 60285 60600 80380 96456 100475 120570 160760 200950 241140 301425 401900 405919 482280 602850 803800 811838 1205700 1217757 1623676 2029595 2411400 2435514 3247352 4059190 4871028 6088785 8118380 9742056 10147975 12177570 16236760 20295950 24355140 30443925 40591900 48710280 60887850 81183800 121775700 243551400