Search a number
-
+
244100430 = 23257675783
BaseRepresentation
bin11101000110010…
…10110101001110
3122000022120211200
432203022311032
5444442203210
640115530330
76022551030
oct1643126516
9560276750
10244100430
111158742a2
12698b99a6
133b758332
14245c1c50
151666b0c0
hexe8cad4e

244100430 has 96 divisors (see below), whose sum is σ = 736280064. Its totient is φ = 54952128.

The previous prime is 244100419. The next prime is 244100443. The reversal of 244100430 is 34001442.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39319 + ... + 45101.

It is an arithmetic number, because the mean of its divisors is an integer number (7669584).

Almost surely, 2244100430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244100430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368140032).

244100430 is an abundant number, since it is smaller than the sum of its proper divisors (492179634).

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

244100430 is a wasteful number, since it uses less digits than its factorization.

244100430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 244100430 is about 15623.7137070544. The cubic root of 244100430 is about 624.9656983841.

Adding to 244100430 its reverse (34001442), we get a palindrome (278101872).

The spelling of 244100430 in words is "two hundred forty-four million, one hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 315 335 402 469 603 630 670 938 1005 1206 1407 2010 2345 2814 3015 4221 4690 5783 6030 7035 8442 11566 14070 17349 21105 28915 34698 40481 42210 52047 57830 80962 86745 104094 121443 173490 202405 242886 260235 364329 387461 404810 520470 607215 728658 774922 1162383 1214430 1821645 1937305 2324766 2712227 3487149 3643290 3874610 5424454 5811915 6974298 8136681 11623830 13561135 16273362 17435745 24410043 27122270 34871490 40683405 48820086 81366810 122050215 244100430