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243940000 = 255412197
BaseRepresentation
bin11101000101000…
…11101010100000
3122000000102202211
432202203222200
5444422040000
640112251504
76021312223
oct1642435240
9560012684
10243940000
11115774807
1269840b94
133b7002c5
142457d5ba
15166387ba
hexe8a3aa0

243940000 has 60 divisors (see below), whose sum is σ = 600178194. Its totient is φ = 97568000.

The previous prime is 243939931. The next prime is 243940007. The reversal of 243940000 is 49342.

It can be written as a sum of positive squares in 5 ways, for example, as 11316496 + 232623504 = 3364^2 + 15252^2 .

It is not an unprimeable number, because it can be changed into a prime (243940007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13902 + ... + 26098.

Almost surely, 2243940000 is an apocalyptic number.

243940000 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 243940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300089097).

243940000 is an abundant number, since it is smaller than the sum of its proper divisors (356238194).

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

243940000 is an equidigital number, since it uses as much as digits as its factorization.

243940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12227 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 243940000 is about 15618.5786805330. The cubic root of 243940000 is about 624.8287530835.

Adding to 243940000 its reverse (49342), we get a palindrome (243989342).

The spelling of 243940000 in words is "two hundred forty-three million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 12197 20000 24394 48788 60985 97576 121970 195152 243940 304925 390304 487880 609850 975760 1219700 1524625 1951520 2439400 3049250 4878800 6098500 7623125 9757600 12197000 15246250 24394000 30492500 48788000 60985000 121970000 243940000