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244914384 = 2431113311151
BaseRepresentation
bin11101001100100…
…01100011010000
3122001211221101010
432212101203100
51000144230014
640145210520
76032511051
oct1646214320
9561757333
10244914384
1111627a890
126a030a40
133b981970
1424754728
151677c359
hexe9918d0

244914384 has 160 divisors (see below), whose sum is σ = 767950848. Its totient is φ = 66240000.

The previous prime is 244914379. The next prime is 244914401. The reversal of 244914384 is 483419442.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212209 + ... + 213359.

Almost surely, 2244914384 is an apocalyptic number.

244914384 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 244914384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383975424).

244914384 is an abundant number, since it is smaller than the sum of its proper divisors (523036464).

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

244914384 is a wasteful number, since it uses less digits than its factorization.

244914384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 244914384 is about 15649.7407007273. The cubic root of 244914384 is about 625.6595780327.

It can be divided in two parts, 244 and 914384, that added together give a triangular number (914628 = T1352).

The spelling of 244914384 in words is "two hundred forty-four million, nine hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 496 528 572 624 682 744 806 858 1023 1144 1151 1209 1364 1488 1612 1716 2046 2288 2302 2418 2728 3224 3432 3453 4092 4433 4604 4836 5456 6448 6864 6906 8184 8866 9208 9672 12661 13299 13812 14963 16368 17732 18416 19344 25322 26598 27624 29926 35464 35681 37983 44889 50644 53196 55248 59852 70928 71362 75966 89778 101288 106392 107043 119704 142724 151932 164593 179556 202576 212784 214086 239408 285448 303864 329186 359112 392491 428172 463853 493779 570896 607728 658372 718224 784982 856344 927706 987558 1177473 1316744 1391559 1569964 1712688 1855412 1975116 2354946 2633488 2783118 3139928 3710824 3950232 4709892 5102383 5566236 6279856 7421648 7900464 9419784 10204766 11132472 15307149 18839568 20409532 22264944 30614298 40819064 61228596 81638128 122457192 244914384