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2430434041 = 76173103757
BaseRepresentation
bin1001000011011101…
…0111101011111001
320021101021211201121
42100313113223321
514434142342131
61041100345241
7114141230350
oct22067275371
96241254647
102430434041
111037a0a082
12579b45221
132c96b3369
14190b02997
15e3588911
hex90dd7af9

2430434041 has 32 divisors (see below), whose sum is σ = 2893449728. Its totient is φ = 1998743040.

The previous prime is 2430434011. The next prime is 2430434051. The reversal of 2430434041 is 1404340342.

It is not a de Polignac number, because 2430434041 - 25 = 2430434009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2430433997 and 2430434015.

It is not an unprimeable number, because it can be changed into a prime (2430434011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3210235 + ... + 3210991.

It is an arithmetic number, because the mean of its divisors is an integer number (90420304).

Almost surely, 22430434041 is an apocalyptic number.

It is an amenable number.

2430434041 is a deficient number, since it is larger than the sum of its proper divisors (463015687).

2430434041 is a wasteful number, since it uses less digits than its factorization.

2430434041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001.

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2430434041 is about 49299.4324612363. The cubic root of 2430434041 is about 1344.5014650206.

Adding to 2430434041 its reverse (1404340342), we get a palindrome (3834774383).

The spelling of 2430434041 in words is "two billion, four hundred thirty million, four hundred thirty-four thousand, forty-one".

Divisors: 1 7 61 73 103 427 511 721 757 4453 5299 6283 7519 31171 43981 46177 52633 55261 77971 323239 386827 458659 545797 3210613 3370921 4756231 5691883 23596447 33293617 39843181 347204863 2430434041