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345444543 = 323710110271
BaseRepresentation
bin10100100101110…
…001000010111111
3220002000101211100
4110211301002333
51201413211133
654140024143
711363141643
oct2445610277
9802011740
10345444543
11167aa3664
1297832053
135674c872
1433c42c23
15204d8e13
hex149710bf

345444543 has 24 divisors (see below), whose sum is σ = 517585536. Its totient is φ = 221832000.

The previous prime is 345444493. The next prime is 345444551.

345444543 is a `hidden beast` number, since 34 + 544 + 45 + 43 = 666.

345444543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-345444543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345444498 and 345444507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345444553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28498 + ... + 38768.

It is an arithmetic number, because the mean of its divisors is an integer number (21566064).

Almost surely, 2345444543 is an apocalyptic number.

345444543 is a deficient number, since it is larger than the sum of its proper divisors (172140993).

345444543 is a wasteful number, since it uses less digits than its factorization.

345444543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10412 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 345444543 is about 18586.1384639198. The cubic root of 345444543 is about 701.6590193936.

The spelling of 345444543 in words is "three hundred forty-five million, four hundred forty-four thousand, five hundred forty-three".

Divisors: 1 3 9 37 101 111 303 333 909 3737 10271 11211 30813 33633 92439 380027 1037371 1140081 3112113 3420243 9336339 38382727 115148181 345444543