Search a number
-
+
244332816 = 243721361131
BaseRepresentation
bin11101001000000…
…11100100010000
3122000202101121120
432210003210100
51000022122231
640124522240
76024536400
oct1644034420
9560671546
10244332816
11115a12952
12699b0380
133b80a040
1424642800
15166b4d96
hexe903910

244332816 has 240 divisors, whose sum is σ = 809823168. Its totient is φ = 62899200.

The previous prime is 244332811. The next prime is 244332821. The reversal of 244332816 is 618233442.

244332816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244332811) and next prime (244332821).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (244332811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1865071 + ... + 1865201.

Almost surely, 2244332816 is an apocalyptic number.

244332816 is a gapful number since it is divisible by the number (26) 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 244332816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404911584).

244332816 is an abundant number, since it is smaller than the sum of its proper divisors (565490352).

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

244332816 is a wasteful number, since it uses less digits than its factorization.

244332816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 244332816 is about 15631.1489021121. The cubic root of 244332816 is about 625.1639599703.

The spelling of 244332816 in words is "two hundred forty-four million, three hundred thirty-two thousand, eight hundred sixteen".