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244602680 = 23576114321
BaseRepresentation
bin11101001010001…
…01011100111000
3122001021002210112
432211011130320
51000104241210
640134403452
76030042230
oct1645053470
9561232715
10244602680
11116087683
1269b00588
133b8a2b1a
14246b2cc0
1516719d05
hexe945738

244602680 has 64 divisors (see below), whose sum is σ = 639334080. Its totient is φ = 82483200.

The previous prime is 244602643. The next prime is 244602689. The reversal of 244602680 is 86206442.

It is a happy number.

244602680 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244602689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9920 + ... + 24240.

It is an arithmetic number, because the mean of its divisors is an integer number (9989595).

Almost surely, 2244602680 is an apocalyptic number.

244602680 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 244602680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319667040).

244602680 is an abundant number, since it is smaller than the sum of its proper divisors (394731400).

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

244602680 is a wasteful number, since it uses less digits than its factorization.

244602680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14400 (or 14396 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 244602680 is about 15639.7787708139. The cubic root of 244602680 is about 625.3940384550.

The spelling of 244602680 in words is "two hundred forty-four million, six hundred two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 14321 17080 28642 57284 71605 100247 114568 143210 200494 286420 400988 501235 572840 801976 873581 1002470 1747162 2004940 3494324 4009880 4367905 6115067 6988648 8735810 12230134 17471620 24460268 30575335 34943240 48920536 61150670 122301340 244602680