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3484361234180 = 2251710248121277
BaseRepresentation
bin110010101101000100000…
…111010001011100000100
3110100002202010101101000202
4302231010013101130010
5424041432433443210
611224405441430032
7506510501550131
oct62550407213404
913302663341022
103484361234180
111123789096a22
1248336163b318
131c375c9b2198
14c090313b588
15609824389a5
hex32b441d1704

3484361234180 has 24 divisors (see below), whose sum is σ = 7747579686168. Its totient is φ = 1311759523328.

The previous prime is 3484361234177. The next prime is 3484361234183. The reversal of 3484361234180 is 814321634843.

It is an interprime number because it is at equal distance from previous prime (3484361234177) and next prime (3484361234183).

It can be written as a sum of positive squares in 4 ways, for example, as 130247366404 + 3354113867776 = 360898^2 + 1831424^2 .

It is not an unprimeable number, because it can be changed into a prime (3484361234183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5124060299 + ... + 5124060978.

It is an arithmetic number, because the mean of its divisors is an integer number (322815820257).

Almost surely, 23484361234180 is an apocalyptic number.

It is an amenable number.

3484361234180 is an abundant number, since it is smaller than the sum of its proper divisors (4263218451988).

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

3484361234180 is a wasteful number, since it uses less digits than its factorization.

3484361234180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248121303 (or 10248121301 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 3484361234180 in words is "three trillion, four hundred eighty-four billion, three hundred sixty-one million, two hundred thirty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 10248121277 20496242554 40992485108 51240606385 102481212770 174218061709 204962425540 348436123418 696872246836 871090308545 1742180617090 3484361234180