Search a number
-
+
243946472 = 237111921097
BaseRepresentation
bin11101000101001…
…01001111101000
3122000000202122112
432202211033220
5444422241342
640112341452
76021340130
oct1642451750
9560022575
10243946472
11115779660
1269844888
133b703233
1424581ac0
151663a682
hexe8a53e8

243946472 has 96 divisors (see below), whose sum is σ = 602406720. Its totient is φ = 89959680.

The previous prime is 243946459. The next prime is 243946477. The reversal of 243946472 is 274649342.

243946472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243946477) 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, 221828 + ... + 222924.

It is an arithmetic number, because the mean of its divisors is an integer number (6275070).

Almost surely, 2243946472 is an apocalyptic number.

243946472 is a gapful number since it is divisible by the number (22) 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 243946472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301203360).

243946472 is an abundant number, since it is smaller than the sum of its proper divisors (358460248).

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

243946472 is a wasteful number, since it uses less digits than its factorization.

243946472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1136 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 243946472 is about 15618.7858683062. The cubic root of 243946472 is about 624.8342788356.

The spelling of 243946472 in words is "two hundred forty-three million, nine hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 361 418 532 616 722 836 1064 1097 1444 1463 1672 2194 2527 2888 2926 3971 4388 5054 5852 7679 7942 8776 10108 11704 12067 15358 15884 20216 20843 24134 27797 30716 31768 41686 48268 55594 61432 83372 84469 96536 111188 145901 166744 168938 222376 229273 291802 337876 396017 458546 583604 675752 792034 917092 1167208 1584068 1604911 1834184 2772119 3168136 3209822 4356187 5544238 6419644 8712374 11088476 12839288 17424748 22176952 30493309 34849496 60986618 121973236 243946472