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249040344 = 233721712457
BaseRepresentation
bin11101101100000…
…00110111011000
3122100121120010110
432312000313120
51002223242334
640413444320
76112544100
oct1666006730
9570546113
10249040344
11118638773
126b4a06a0
133c797967
142510a200
1516ce4ae9
hexed80dd8

249040344 has 96 divisors (see below), whose sum is σ = 766914480. Its totient is φ = 66963456.

The previous prime is 249040333. The next prime is 249040349. The reversal of 249040344 is 443040942.

249040344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249040349) 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, 13764 + ... + 26220.

Almost surely, 2249040344 is an apocalyptic number.

249040344 is a gapful number since it is divisible by the number (24) 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 249040344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383457240).

249040344 is an abundant number, since it is smaller than the sum of its proper divisors (517874136).

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

249040344 is a wasteful number, since it uses less digits than its factorization.

249040344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12497 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 249040344 is about 15781.0121348410. The cubic root of 249040344 is about 629.1534308245.

The spelling of 249040344 in words is "two hundred forty-nine million, forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6664 9996 12457 19992 24914 37371 49828 74742 87199 99656 149484 174398 211769 261597 298968 348796 423538 523194 610393 635307 697592 847076 1046388 1220786 1270614 1482383 1694152 1831179 2092776 2441572 2541228 2964766 3662358 4447149 4883144 5082456 5929532 7324716 8894298 10376681 11859064 14649432 17788596 20753362 31130043 35577192 41506724 62260086 83013448 124520172 249040344