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1042330401 = 327217139033
BaseRepresentation
bin111110001000001…
…011001100100001
32200122022212111200
4332020023030201
54113314033101
6251232431413
734554443100
oct7610131441
92618285450
101042330401
11495406292
122510a8569
13137c3b668
149c60a037
1561793986
hex3e20b321

1042330401 has 36 divisors (see below), whose sum is σ = 1854435492. Its totient is φ = 560577024.

The previous prime is 1042330397. The next prime is 1042330409. The reversal of 1042330401 is 1040332401.

It can be written as a sum of positive squares in 2 ways, for example, as 728190225 + 314140176 = 26985^2 + 17724^2 .

It is not a de Polignac number, because 1042330401 - 22 = 1042330397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042330409) 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 35 ways as a sum of consecutive naturals, for example, 62020 + ... + 77013.

It is an arithmetic number, because the mean of its divisors is an integer number (51512097).

Almost surely, 21042330401 is an apocalyptic number.

It is an amenable number.

1042330401 is a deficient number, since it is larger than the sum of its proper divisors (812105091).

1042330401 is a wasteful number, since it uses less digits than its factorization.

1042330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139070 (or 139060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1042330401 is about 32285.1421090259. The cubic root of 1042330401 is about 1013.9155917507.

Adding to 1042330401 its reverse (1040332401), we get a palindrome (2082662802).

The spelling of 1042330401 in words is "one billion, forty-two million, three hundred thirty thousand, four hundred one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 139033 417099 973231 1251297 2363561 2919693 6812617 7090683 8759079 16544927 20437851 21272049 49634781 61313553 115814489 148904343 347443467 1042330401