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44240364 = 22337139421
BaseRepresentation
bin1010100011000…
…0110111101100
310002020122101000
42220300313230
542311142424
64220120300
71045015440
oct250606754
9102218330
1044240364
1122a77493
1212996090
13921c93c
145c38820
153d3d3c9
hex2a30dec

44240364 has 96 divisors (see below), whose sum is σ = 132339200. Its totient is φ = 12519360.

The previous prime is 44240347. The next prime is 44240369. The reversal of 44240364 is 46304244.

44240364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44240369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104874 + ... + 105294.

Almost surely, 244240364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44240364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66169600).

44240364 is an abundant number, since it is smaller than the sum of its proper divisors (88098836).

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

44240364 is a wasteful number, since it uses less digits than its factorization.

44240364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 44240364 is about 6651.3430222775. The cubic root of 44240364 is about 353.6765215081.

The spelling of 44240364 in words is "forty-four million, two hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 139 189 252 278 378 417 421 556 756 834 842 973 1251 1263 1668 1684 1946 2502 2526 2919 2947 3753 3789 3892 5004 5052 5838 5894 7506 7578 8757 8841 11367 11676 11788 15012 15156 17514 17682 22734 26271 26523 35028 35364 45468 52542 53046 58519 79569 105084 106092 117038 159138 175557 234076 318276 351114 409633 526671 702228 819266 1053342 1228899 1580013 1638532 2106684 2457798 3160026 3686697 4915596 6320052 7373394 11060091 14746788 22120182 44240364