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345484152841 = 389215112
BaseRepresentation
bin1010000011100000111…
…01011101000000001001
31020000202101101101122111
411001300131131000021
521130022420342331
6422414020222321
733650263563052
oct5016035350011
91200671341574
10345484152841
11123578885563
1256b59b3a9a1
132676b136a09
1412a15bdd729
158ec0884db1
hex507075d009

345484152841 has 9 divisors (see below), whose sum is σ = 346603957063. Its totient is φ = 344367960520.

The previous prime is 345484152803. The next prime is 345484152847. The reversal of 345484152841 is 148251484543.

The square root of 345484152841 is 587779.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81555365241 + 263928787600 = 285579^2 + 513740^2 .

It is a de Polignac number, because none of the positive numbers 2k-345484152841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345484152847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 228645276 + ... + 228646786.

Almost surely, 2345484152841 is an apocalyptic number.

345484152841 is the 587779-th square number.

345484152841 is the 293890-th centered octagonal number.

It is an amenable number.

345484152841 is a deficient number, since it is larger than the sum of its proper divisors (1119804222).

345484152841 is an frugal number, since it uses more digits than its factorization.

345484152841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 1900 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 49.

Multiplying 345484152841 by its sum of digits (49), we get a square (16928723489209 = 41144532).

The spelling of 345484152841 in words is "three hundred forty-five billion, four hundred eighty-four million, one hundred fifty-two thousand, eight hundred forty-one".

Divisors: 1 389 1511 151321 587779 2283121 228646031 888134069 345484152841