Search a number
-
+
244009040 = 24511416763
BaseRepresentation
bin11101000101101…
…00100001010000
3122000010221110212
432202310201100
5444431242130
640113543252
76022020422
oct1642644120
9560127425
10244009040
11115811670
1269874b28
133b725862
142459a812
151664de95
hexe8b4850

244009040 has 80 divisors (see below), whose sum is σ = 634084416. Its totient is φ = 86553600.

The previous prime is 244009019. The next prime is 244009049. The reversal of 244009040 is 40900442.

It is a happy number.

244009040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 244008997 and 244009015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244009049) by changing a digit.

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, 32699 + ... + 39461.

Almost surely, 2244009040 is an apocalyptic number.

244009040 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 244009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317042208).

244009040 is an abundant number, since it is smaller than the sum of its proper divisors (390075376).

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

244009040 is a wasteful number, since it uses less digits than its factorization.

244009040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 244009040 is about 15620.7887124818. The cubic root of 244009040 is about 624.8876939543.

Adding to 244009040 its reverse (40900442), we get a palindrome (284909482).

The spelling of 244009040 in words is "two hundred forty-four million, nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 6763 7216 9020 13526 18040 27052 33815 36080 54104 67630 74393 108208 135260 148786 270520 277283 297572 371965 541040 554566 595144 743930 1109132 1190288 1386415 1487860 2218264 2772830 2975720 3050113 4436528 5545660 5951440 6100226 11091320 12200452 15250565 22182640 24400904 30501130 48801808 61002260 122004520 244009040