Search a number
-
+
244533740 = 225112372731
BaseRepresentation
bin11101001001101…
…00100111101100
3122001010121020012
432210310213230
51000100034430
640133112352
76026334233
oct1644644754
9561117205
10244533740
1111603a900
1269a886b8
133b87a629
1424695b1a
1516704695
hexe9349ec

244533740 has 72 divisors (see below), whose sum is σ = 579916176. Its totient is φ = 86486400.

The previous prime is 244533739. The next prime is 244533749. The reversal of 244533740 is 47335442.

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 junction number, because it is equal to n+sod(n) for n = 244533697 and 244533706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244533749) 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, 88175 + ... + 90905.

Almost surely, 2244533740 is an apocalyptic number.

244533740 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 244533740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289958088).

244533740 is an abundant number, since it is smaller than the sum of its proper divisors (335382436).

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

244533740 is a wasteful number, since it uses less digits than its factorization.

244533740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 244533740 is about 15637.5746201257. The cubic root of 244533740 is about 625.3352782428.

The spelling of 244533740 in words is "two hundred forty-four million, five hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1628 2035 2420 2731 4070 4477 5462 8140 8954 10924 13655 17908 22385 27310 30041 44770 54620 60082 89540 101047 120164 150205 202094 300410 330451 404188 505235 600820 660902 1010470 1111517 1321804 1652255 2020940 2223034 3304510 4446068 5557585 6609020 11115170 12226687 22230340 24453374 48906748 61133435 122266870 244533740