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243938000 = 2453235303
BaseRepresentation
bin11101000101000…
…11001011010000
3122000000100000202
432202203023100
5444422004000
640112234332
76021303335
oct1642431320
9560010022
10243938000
11115773259
126983b9a8
133b6cc417
142457c98c
1516637dd5
hexe8a32d0

243938000 has 80 divisors (see below), whose sum is σ = 615603456. Its totient is φ = 93315200.

The previous prime is 243937973. The next prime is 243938021. The reversal of 243938000 is 839342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43349 + ... + 48651.

Almost surely, 2243938000 is an apocalyptic number.

243938000 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 243938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307801728).

243938000 is an abundant number, since it is smaller than the sum of its proper divisors (371665456).

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

243938000 is a wasteful number, since it uses less digits than its factorization.

243938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 243938000 is about 15618.5146540892. The cubic root of 243938000 is about 624.8270454765.

The spelling of 243938000 in words is "two hundred forty-three million, nine hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5303 5750 9200 10606 11500 21212 23000 26515 42424 46000 53030 84848 106060 121969 132575 212120 243938 265150 424240 487876 530300 609845 662875 975752 1060600 1219690 1325750 1951504 2121200 2439380 2651500 3049225 4878760 5303000 6098450 9757520 10606000 12196900 15246125 24393800 30492250 48787600 60984500 121969000 243938000