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1444354304 = 2853106453
BaseRepresentation
bin101011000010111…
…0001100100000000
310201122210210121212
41112011301210000
510424223314204
6355153305252
750535544331
oct12605614400
93648723555
101444354304
11681333848
12343865228
131a030b223
14d9b7a288
1586c06c6e
hex56171900

1444354304 has 36 divisors (see below), whose sum is σ = 2937491676. Its totient is φ = 708544512.

The previous prime is 1444354267. The next prime is 1444354319. The reversal of 1444354304 is 4034534441.

It can be written as a sum of positive squares in 2 ways, for example, as 1107558400 + 336795904 = 33280^2 + 18352^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39659 + ... + 66794.

It is an arithmetic number, because the mean of its divisors is an integer number (81596991).

Almost surely, 21444354304 is an apocalyptic number.

It is an amenable number.

1444354304 is an abundant number, since it is smaller than the sum of its proper divisors (1493137372).

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

1444354304 is an equidigital number, since it uses as much as digits as its factorization.

1444354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106522 (or 106508 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 1444354304 is about 38004.6616088079. The cubic root of 1444354304 is about 1130.3802995945.

Adding to 1444354304 its reverse (4034534441), we get a palindrome (5478888745).

The spelling of 1444354304 in words is "one billion, four hundred forty-four million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 106453 212906 425812 851624 1703248 3406496 5642009 6812992 11284018 13625984 22568036 27251968 45136072 90272144 180544288 361088576 722177152 1444354304