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1004114321 = 736414567
BaseRepresentation
bin111011110110011…
…001000110010001
32120222102021220022
4323312121012101
54024023124241
6243345353225
733611555000
oct7366310621
92528367808
101004114321
11475883a51
12240338815
1313004aab2
14974dcc37
155d24554b
hex3bd99191

1004114321 has 16 divisors (see below), whose sum is σ = 1173062400. Its totient is φ = 859138560.

The previous prime is 1004114303. The next prime is 1004114341. The reversal of 1004114321 is 1234114001.

It is a happy number.

It is not a de Polignac number, because 1004114321 - 26 = 1004114257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004114321.

It is not an unprimeable number, because it can be changed into a prime (1004114341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217580 + ... + 222146.

It is an arithmetic number, because the mean of its divisors is an integer number (73316400).

Almost surely, 21004114321 is an apocalyptic number.

It is an amenable number.

1004114321 is a deficient number, since it is larger than the sum of its proper divisors (168948079).

1004114321 is an frugal number, since it uses more digits than its factorization.

1004114321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1004114321 is about 31687.7629535441. The cubic root of 1004114321 is about 1001.3695637721.

Adding to 1004114321 its reverse (1234114001), we get a palindrome (2238228322).

The spelling of 1004114321 in words is "one billion, four million, one hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 7 49 343 641 4487 4567 31409 31969 219863 223783 1566481 2927447 20492129 143444903 1004114321