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2434100361 = 371125141981
BaseRepresentation
bin1001000100010101…
…0110110010001001
320021122012002222020
42101011112302021
514441112202421
61041311115053
7114214340340
oct22105266211
96248162866
102434100361
111039a936a0
1257b212a89
132ca398094
141913b8b57
15e3a5edc6
hex91156c89

2434100361 has 32 divisors (see below), whose sum is σ = 4062514176. Its totient is φ = 1259400000.

The previous prime is 2434100309. The next prime is 2434100369. The reversal of 2434100361 is 1630014342.

It is not a de Polignac number, because 2434100361 - 217 = 2433969289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2434100369) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36991 + ... + 78971.

It is an arithmetic number, because the mean of its divisors is an integer number (126953568).

Almost surely, 22434100361 is an apocalyptic number.

2434100361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2434100361 is a deficient number, since it is larger than the sum of its proper divisors (1628413815).

2434100361 is a wasteful number, since it uses less digits than its factorization.

2434100361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42253.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2434100361 is about 49336.6026495542. The cubic root of 2434100361 is about 1345.1771874010.

The spelling of 2434100361 in words is "two billion, four hundred thirty-four million, one hundred thousand, three hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 231 251 753 1757 2761 5271 8283 19327 41981 57981 125943 293867 461791 881601 1385373 3232537 9697611 10537231 31611693 73760617 115909541 221281851 347728623 811366787 2434100361