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442034541 = 32132290621
BaseRepresentation
bin11010010110001…
…110100101101101
31010210202200101200
4122112032211231
51401130101131
6111510200113
713645142304
oct3226164555
91123680350
10442034541
11207576103
12104053039
137076b200
14429c743b
1528c182e6
hex1a58e96d

442034541 has 18 divisors (see below), whose sum is σ = 691389738. Its totient is φ = 272020320.

The previous prime is 442034533. The next prime is 442034543. The reversal of 442034541 is 145430244.

It is a happy number.

442034541 is a `hidden beast` number, since 4 + 4 + 203 + 454 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 59675625 + 382358916 = 7725^2 + 19554^2 .

It is not a de Polignac number, because 442034541 - 23 = 442034533 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442034543) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 143790 + ... + 146831.

It is an arithmetic number, because the mean of its divisors is an integer number (38410541).

Almost surely, 2442034541 is an apocalyptic number.

It is an amenable number.

442034541 is a deficient number, since it is larger than the sum of its proper divisors (249355197).

442034541 is a wasteful number, since it uses less digits than its factorization.

442034541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290653 (or 290637 counting only the distinct ones).

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

The square root of 442034541 is about 21024.6174994933. The cubic root of 442034541 is about 761.7610024029.

Adding to 442034541 its reverse (145430244), we get a palindrome (587464785).

The spelling of 442034541 in words is "four hundred forty-two million, thirty-four thousand, five hundred forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 290621 871863 2615589 3778073 11334219 34002657 49114949 147344847 442034541