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2001345444 = 2232771111857
BaseRepresentation
bin111011101001010…
…0001101110100100
312011110212212211100
41313102201232210
513044321023234
6530331440100
7100411104240
oct16722415644
95143785740
102001345444
119377864aa
1247a2b6030
1325b828897
1414db29420
15baa7b399
hex774a1ba4

2001345444 has 72 divisors (see below), whose sum is σ = 5863148928. Its totient is φ = 563754240.

The previous prime is 2001345433. The next prime is 2001345469. The reversal of 2001345444 is 4445431002.

It is a happy number.

2001345444 is a `hidden beast` number, since 200 + 1 + 3 + 454 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38037 + ... + 73820.

It is an arithmetic number, because the mean of its divisors is an integer number (81432624).

Almost surely, 22001345444 is an apocalyptic number.

It is an amenable number.

2001345444 is an abundant number, since it is smaller than the sum of its proper divisors (3861803484).

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

2001345444 is a wasteful number, since it uses less digits than its factorization.

2001345444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111945 (or 111940 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2001345444 is about 44736.3995422072. The cubic root of 2001345444 is about 1260.2035121010.

Adding to 2001345444 its reverse (4445431002), we get a palindrome (6446776446).

The spelling of 2001345444 in words is "two billion, one million, three hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 8946 17892 111857 223714 335571 447428 671142 782999 1006713 1342284 1565998 2013426 2348997 3131996 4026852 4697994 7046991 7941847 9395988 14093982 15883694 23825541 28187964 31767388 47651082 55592929 71476623 95302164 111185858 142953246 166778787 222371716 285906492 333557574 500336361 667115148 1000672722 2001345444