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4434200442 = 2337109107621
BaseRepresentation
bin1000010000100110…
…01000011101111010
3102110000201201111000
410020103020131322
533040123403232
62012000145430
7214612040040
oct41023103572
912400651430
104434200442
111975a99471
12a39008276
13558878b59
14300c9c390
151ae44227c
hex1084c877a

4434200442 has 64 divisors (see below), whose sum is σ = 11364883200. Its totient is φ = 1255279680.

The previous prime is 4434200437. The next prime is 4434200443. The reversal of 4434200442 is 2440024344.

It is a happy number.

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 (4434200443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12609 + ... + 95012.

It is an arithmetic number, because the mean of its divisors is an integer number (177576300).

Almost surely, 24434200442 is an apocalyptic number.

4434200442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4434200442 is an abundant number, since it is smaller than the sum of its proper divisors (6930682758).

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

4434200442 is a wasteful number, since it uses less digits than its factorization.

4434200442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107748 (or 107742 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4434200442 is about 66589.7923258513. The cubic root of 4434200442 is about 1642.8772170041.

Adding to 4434200442 its reverse (2440024344), we get a palindrome (6874224786).

The spelling of 4434200442 in words is "four billion, four hundred thirty-four million, two hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 327 378 654 763 981 1526 1962 2289 2943 4578 5886 6867 13734 20601 41202 107621 215242 322863 645726 753347 968589 1506694 1937178 2260041 2905767 4520082 5811534 6780123 11730689 13560246 20340369 23461378 35192067 40680738 70384134 82114823 105576201 164229646 211152402 246344469 316728603 492688938 633457206 739033407 1478066814 2217100221 4434200442