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244660240 = 24511299587
BaseRepresentation
bin11101001010100…
…11100000010000
3122001101000202101
432211103200100
51000113111430
640135530144
76030402106
oct1645234020
9561330671
10244660240
11116116950
1269b29954
133b8c3096
14246c9c76
151672bdca
hexe953810

244660240 has 80 divisors (see below), whose sum is σ = 642012480. Its totient is φ = 85890560.

The previous prime is 244660187. The next prime is 244660259. The reversal of 244660240 is 42066442.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 244660199 and 244660208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20727 + ... + 30313.

It is an arithmetic number, because the mean of its divisors is an integer number (8025156).

Almost surely, 2244660240 is an apocalyptic number.

244660240 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 244660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321006240).

244660240 is an abundant number, since it is smaller than the sum of its proper divisors (397352240).

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

244660240 is a wasteful number, since it uses less digits than its factorization.

244660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 244660240 is about 15641.6188420508. The cubic root of 244660240 is about 625.4430905989.

The spelling of 244660240 in words is "two hundred forty-four million, six hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 9587 12760 19174 25520 38348 47935 76696 95870 105457 153392 191740 210914 278023 383480 421828 527285 556046 766960 843656 1054570 1112092 1390115 1687312 2109140 2224184 2780230 3058253 4218280 4448368 5560460 6116506 8436560 11120920 12233012 15291265 22241840 24466024 30582530 48932048 61165060 122330120 244660240