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1424437344 = 2532111726449
BaseRepresentation
bin101010011100111…
…0011000001100000
310200021022220200200
41110321303001200
510404123443334
6353202345200
750204342361
oct12471630140
93607286620
101424437344
1167106a950
1233905b200
13199156845
14d7273b68
15850c0799
hex54e73060

1424437344 has 144 divisors (see below), whose sum is σ = 4679110800. Its totient is φ = 406241280.

The previous prime is 1424437331. The next prime is 1424437349. The reversal of 1424437344 is 4437344241.

1424437344 is a `hidden beast` number, since 1 + 4 + 244 + 373 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1424437299 and 1424437308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424437349) 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 23 ways as a sum of consecutive naturals, for example, 40632 + ... + 67080.

It is an arithmetic number, because the mean of its divisors is an integer number (32493825).

Almost surely, 21424437344 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 1424437344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339555400).

1424437344 is an abundant number, since it is smaller than the sum of its proper divisors (3254673456).

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

1424437344 is a wasteful number, since it uses less digits than its factorization.

1424437344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26493 (or 26482 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 1424437344 is about 37741.7188797755. The cubic root of 1424437344 is about 1125.1604298617.

The spelling of 1424437344 in words is "one billion, four hundred twenty-four million, four hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 13464 17952 26449 26928 52898 53856 79347 105796 158694 211592 238041 290939 317388 423184 449633 476082 581878 634776 846368 872817 899266 952164 1163756 1269552 1348899 1745634 1798532 1904328 2327512 2539104 2618451 2697798 3491268 3597064 3808656 4046697 4655024 4945963 5236902 5395596 6982536 7194128 7617312 8093394 9310048 9891926 10473804 10791192 13965072 14388256 14837889 16186788 19783852 20947608 21582384 27930144 29675778 32373576 39567704 41895216 43164768 44513667 59351556 64747152 79135408 83790432 89027334 118703112 129494304 158270816 178054668 237406224 356109336 474812448 712218672 1424437344