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2439009342 = 2327112159977
BaseRepresentation
bin1001000101100000…
…0101010000111110
320021222102111211100
42101120011100332
514443341244332
61042004233530
7114304144260
oct22130052076
96258374740
102439009342
111041836900
1258099b8a6
132cb3c65c3
14191cd5b30
15e41ce67c
hex9160543e

2439009342 has 72 divisors (see below), whose sum is σ = 6638447088. Its totient is φ = 633504960.

The previous prime is 2439009323. The next prime is 2439009367.

2439009342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2439009297 and 2439009306.

It is a congruent number.

It is an unprimeable number.

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, 64743 + ... + 95234.

It is an arithmetic number, because the mean of its divisors is an integer number (92200654).

Almost surely, 22439009342 is an apocalyptic number.

2439009342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2439009342 is an abundant number, since it is smaller than the sum of its proper divisors (4199437746).

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

2439009342 is a wasteful number, since it uses less digits than its factorization.

2439009342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160014 (or 160000 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2439009342 is about 49386.3274803867. The cubic root of 2439009342 is about 1346.0808772064.

The spelling of 2439009342 in words is "two billion, four hundred thirty-nine million, nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15246 159977 319954 479931 959862 1119839 1439793 1759747 2239678 2879586 3359517 3519494 5279241 6719034 10078551 10558482 12318229 15837723 19357217 20157102 24636458 31675446 36954687 38714434 58071651 73909374 110864061 116143302 135500519 174214953 221728122 271001038 348429906 406501557 813003114 1219504671 2439009342