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2240304001 = 13314123307
BaseRepresentation
bin1000010110001000…
…0101001110000001
312210010112020100021
42011202011032001
514042004212001
61010145253441
7106342161355
oct20542051601
95703466307
102240304001
11a4a658611
12526334281
132991a3690
1417376d465
15d1a2dba1
hex85885381

2240304001 has 24 divisors (see below), whose sum is σ = 2553458432. Its totient is φ = 1951862400.

The previous prime is 2240303981. The next prime is 2240304071. The reversal of 2240304001 is 1004030422.

It is not a de Polignac number, because 2240304001 - 223 = 2231915393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2240304071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 675790 + ... + 679096.

Almost surely, 22240304001 is an apocalyptic number.

It is an amenable number.

2240304001 is a deficient number, since it is larger than the sum of its proper divisors (313154431).

2240304001 is a wasteful number, since it uses less digits than its factorization.

2240304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2240304001 is about 47331.8497525715. The cubic root of 2240304001 is about 1308.4857123164.

Adding to 2240304001 its reverse (1004030422), we get a palindrome (3244334423).

The spelling of 2240304001 in words is "two billion, two hundred forty million, three hundred four thousand, one".

Divisors: 1 13 31 41 403 533 1271 1681 3307 16523 21853 42991 52111 102517 135587 677443 1332721 1762631 4203197 5559067 54641561 72267871 172331077 2240304001