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2430342404 = 227413595897
BaseRepresentation
bin1001000011011100…
…0001010100000100
320021101010012000122
42100313001110010
514434131424104
61041054401112
7114140366240
oct22067012404
96241105018
102430342404
111037957246
12579b00198
132c9680739
14190abb420
15e356b6be
hex90dc1504

2430342404 has 48 divisors (see below), whose sum is σ = 4993954560. Its totient is φ = 1013168640.

The previous prime is 2430342379. The next prime is 2430342437. The reversal of 2430342404 is 4042430342.

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 15 ways as a sum of consecutive naturals, for example, 409184 + ... + 415080.

It is an arithmetic number, because the mean of its divisors is an integer number (104040720).

Almost surely, 22430342404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430342404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496977280).

2430342404 is an abundant number, since it is smaller than the sum of its proper divisors (2563612156).

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

2430342404 is a wasteful number, since it uses less digits than its factorization.

2430342404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2430342404 is about 49298.5030604378. The cubic root of 2430342404 is about 1344.4845671295.

Adding to 2430342404 its reverse (4042430342), we get a palindrome (6472772746).

The spelling of 2430342404 in words is "two billion, four hundred thirty million, three hundred forty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 28 41 82 164 287 359 574 718 1148 1436 2513 5026 5897 10052 11794 14719 23588 29438 41279 58876 82558 103033 165116 206066 241777 412132 483554 967108 1692439 2117023 3384878 4234046 6769756 8468092 14819161 29638322 59276644 86797943 173595886 347191772 607585601 1215171202 2430342404