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3483346260756 = 2231937897403141
BaseRepresentation
bin110010101100000111100…
…111011101001100010100
3110100000010101112101020110
4302230013213131030110
5424032343120321011
611224121023203020
7506443365454005
oct62540747351424
913300111471213
103483346260756
11112330817640a
12483119746470
131c362a6317ab
14c08484131ac
156092329aba6
hex32b079dd314

3483346260756 has 48 divisors (see below), whose sum is σ = 8555834288960. Its totient is φ = 1099972327680.

The previous prime is 3483346260749. The next prime is 3483346260767. The reversal of 3483346260756 is 6570626433843.

3483346260756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 3483346260696 and 3483346260705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8438946 + ... + 8842086.

Almost surely, 23483346260756 is an apocalyptic number.

It is an amenable number.

3483346260756 is an abundant number, since it is smaller than the sum of its proper divisors (5072488028204).

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

3483346260756 is a wasteful number, since it uses less digits than its factorization.

3483346260756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441064 (or 441062 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 57.

The spelling of 3483346260756 in words is "three trillion, four hundred eighty-three billion, three hundred forty-six million, two hundred sixty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 37897 75794 113691 151588 227382 403141 454764 720043 806282 1209423 1440086 1612564 2160129 2418846 2880172 4320258 4837692 7659679 8640516 15319358 22979037 30638716 45958074 91916148 15277834477 30555668954 45833503431 61111337908 91667006862 183334013724 290278855063 580557710126 870836565189 1161115420252 1741673130378 3483346260756