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2440534416 = 24317231091193
BaseRepresentation
bin1001000101110111…
…1001100110010000
320022002021222211120
42101131321212100
514444234100131
61042101042240
7114323125455
oct22135714620
96262258746
102440534416
1110426886a1
125813b6380
132cb80b808
141921b182c
15e43d1496
hex91779990

2440534416 has 160 divisors (see below), whose sum is σ = 7035621120. Its totient is φ = 725041152.

The previous prime is 2440534409. The next prime is 2440534423. The reversal of 2440534416 is 6144350442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2440534409) and next prime (2440534423).

It is a super-2 number, since 2×24405344162 = 11912416471360922112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045116 + ... + 2046308.

It is an arithmetic number, because the mean of its divisors is an integer number (43972632).

Almost surely, 22440534416 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 2440534416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517810560).

2440534416 is an abundant number, since it is smaller than the sum of its proper divisors (4595086704).

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

2440534416 is a wasteful number, since it uses less digits than its factorization.

2440534416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2440534416 is about 49401.7653125878. The cubic root of 2440534416 is about 1346.3613797837.

Adding to 2440534416 its reverse (6144350442), we get a palindrome (8584884858).

The spelling of 2440534416 in words is "two billion, four hundred forty million, five hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 109 136 138 184 204 218 272 276 327 368 391 408 436 552 654 782 816 872 1104 1173 1193 1308 1564 1744 1853 2346 2386 2507 2616 3128 3579 3706 4692 4772 5014 5232 5559 6256 7158 7412 7521 9384 9544 10028 11118 14316 14824 15042 18768 19088 20056 20281 22236 27439 28632 29648 30084 40112 40562 42619 44472 54878 57264 60168 60843 81124 82317 85238 88944 109756 120336 121686 127857 130037 162248 164634 170476 219512 243372 255714 260074 324496 329268 340952 390111 439024 466463 486744 511428 520148 658536 681904 780222 932926 973488 1022856 1040296 1317072 1399389 1560444 1865852 2045712 2080592 2210629 2798778 2990851 3120888 3731704 4421258 5597556 5981702 6241776 6631887 7463408 8842516 8972553 11195112 11963404 13263774 17685032 17945106 22390224 23926808 26527548 35370064 35890212 47853616 50844467 53055096 71780424 101688934 106110192 143560848 152533401 203377868 305066802 406755736 610133604 813511472 1220267208 2440534416