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244717368 = 23372593527
BaseRepresentation
bin11101001011000…
…01011100111000
3122001110221010020
432211201130320
51000121423433
640141050440
76031030500
oct1645413470
9561427106
10244717368
11116155865
1269b56a20
133b91309c
1424702a00
151673dcb3
hexe961738

244717368 has 96 divisors (see below), whose sum is σ = 723945600. Its totient is φ = 68714688.

The previous prime is 244717367. The next prime is 244717381. The reversal of 244717368 is 863717442.

244717368 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 (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244717367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67621 + ... + 71147.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2244717368 is an apocalyptic number.

244717368 is a gapful number since it is divisible by the number (28) 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 244717368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

244717368 is an abundant number, since it is smaller than the sum of its proper divisors (479228232).

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

244717368 is a wasteful number, since it uses less digits than its factorization.

244717368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3598 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 244717368 is about 15643.4448891541. Note that the first 3 decimals coincide. The cubic root of 244717368 is about 625.4917669895.

The spelling of 244717368 in words is "two hundred forty-four million, seven hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 59 84 98 118 147 168 177 196 236 294 354 392 413 472 588 708 826 1176 1239 1416 1652 2478 2891 3304 3527 4956 5782 7054 8673 9912 10581 11564 14108 17346 21162 23128 24689 28216 34692 42324 49378 69384 74067 84648 98756 148134 172823 197512 208093 296268 345646 416186 518469 592536 624279 691292 832372 1036938 1248558 1382584 1456651 1664744 2073876 2497116 2913302 4147752 4369953 4994232 5826604 8739906 10196557 11653208 17479812 20393114 30589671 34959624 40786228 61179342 81572456 122358684 244717368