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2444071344 = 24311131033457
BaseRepresentation
bin1001000110101101…
…1001000110110000
320022022221200120220
42101223121012300
520001140240334
61042304533040
7114365156301
oct22153310660
96268850526
102444071344
111044683a80
12582621180
132cc479680
141928527a8
15e487e449
hex91ad91b0

2444071344 has 160 divisors (see below), whose sum is σ = 7491853824. Its totient is φ = 676823040.

The previous prime is 2444071339. The next prime is 2444071373. The reversal of 2444071344 is 4431704442.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 705264 + ... + 708720.

Almost surely, 22444071344 is an apocalyptic number.

2444071344 is a gapful number since it is divisible by the number (24) 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 2444071344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745926912).

2444071344 is an abundant number, since it is smaller than the sum of its proper divisors (5047782480).

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

2444071344 is a wasteful number, since it uses less digits than its factorization.

2444071344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 2444071344 is about 49437.5499392921. The cubic root of 2444071344 is about 1347.0114675483.

Adding to 2444071344 its reverse (4431704442), we get a palindrome (6875775786).

The spelling of 2444071344 in words is "two billion, four hundred forty-four million, seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 103 104 132 143 156 176 206 208 264 286 309 312 412 429 528 572 618 624 824 858 1133 1144 1236 1339 1648 1716 2266 2288 2472 2678 3399 3432 3457 4017 4532 4944 5356 6798 6864 6914 8034 9064 10371 10712 13596 13828 14729 16068 18128 20742 21424 27192 27656 29458 32136 38027 41484 44187 44941 54384 55312 58916 64272 76054 82968 88374 89882 114081 117832 134823 152108 165936 176748 179764 228162 235664 269646 304216 353496 356071 359528 456324 494351 539292 608432 706992 712142 719056 912648 988702 1068213 1078584 1424284 1483053 1825296 1977404 2136426 2157168 2848568 2966106 3916781 3954808 4272852 4628923 5697136 5932212 7833562 7909616 8545704 9257846 11750343 11864424 13886769 15667124 17091408 18515692 23500686 23728848 27773538 31334248 37031384 47001372 50918153 55547076 62668496 74062768 94002744 101836306 111094152 152754459 188005488 203672612 222188304 305508918 407345224 611017836 814690448 1222035672 2444071344