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243738072 = 23342271657
BaseRepresentation
bin11101000011100…
…10010111011000
3121222122011210000
432201302113120
5444344104242
640104053000
76016511424
oct1641622730
9558564700
10243738072
11115647026
1269764160
133b65c416
1424529b84
15165e8a4c
hexe8725d8

243738072 has 80 divisors (see below), whose sum is σ = 686113560. Its totient is φ = 80839296.

The previous prime is 243738037. The next prime is 243738083. The reversal of 243738072 is 270837342.

243738072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146268 + ... + 147924.

Almost surely, 2243738072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243738072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343056780).

243738072 is an abundant number, since it is smaller than the sum of its proper divisors (442375488).

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

243738072 is a wasteful number, since it uses less digits than its factorization.

243738072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 243738072 is about 15612.1129895988. The cubic root of 243738072 is about 624.6562991329.

The spelling of 243738072 in words is "two hundred forty-three million, seven hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 227 324 454 648 681 908 1362 1657 1816 2043 2724 3314 4086 4971 5448 6129 6628 8172 9942 12258 13256 14913 16344 18387 19884 24516 29826 36774 39768 44739 49032 59652 73548 89478 119304 134217 147096 178956 268434 357912 376139 536868 752278 1073736 1128417 1504556 2256834 3009112 3385251 4513668 6770502 9027336 10155753 13541004 20311506 27082008 30467259 40623012 60934518 81246024 121869036 243738072