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244955340 = 22345721601
BaseRepresentation
bin11101001100110…
…11100011001100
3122001221000120000
432212123203030
51000202032330
640150124300
76033041340
oct1646334314
9561830500
10244955340
111162a8633
126a050690
133b9974b6
1424765620
1516789560
hexe99b8cc

244955340 has 120 divisors (see below), whose sum is σ = 878250912. Its totient is φ = 55987200.

The previous prime is 244955339. The next prime is 244955341. The reversal of 244955340 is 43559442.

It is a happy number.

244955340 is a `hidden beast` number, since 24 + 49 + 553 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (244955339) and next prime (244955341).

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

It is a junction number, because it is equal to n+sod(n) for n = 244955295 and 244955304.

It is not an unprimeable number, because it can be changed into a prime (244955341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 540 + ... + 22140.

Almost surely, 2244955340 is an apocalyptic number.

244955340 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 244955340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439125456).

244955340 is an abundant number, since it is smaller than the sum of its proper divisors (633295572).

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

244955340 is a wasteful number, since it uses less digits than its factorization.

244955340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21629 (or 21618 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 244955340 is about 15651.0491661102. The cubic root of 244955340 is about 625.6944515601.

The spelling of 244955340 in words is "two hundred forty-four million, nine hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 21601 43202 64803 86404 108005 129606 151207 194409 216010 259212 302414 324015 388818 432020 453621 583227 604828 648030 756035 777636 907242 972045 1166454 1296060 1360863 1512070 1749681 1814484 1944090 2268105 2332908 2721726 2916135 3024140 3499362 3888180 4082589 4536210 5443452 5832270 6804315 6998724 8165178 8748405 9072420 11664540 12247767 13608630 16330356 17496810 20412945 24495534 27217260 34993620 40825890 48991068 61238835 81651780 122477670 244955340