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345187557 = 321113268211
BaseRepresentation
bin10100100100110…
…010010011100101
3220001112100022100
4110210302103211
51201332000212
654130322313
711361021501
oct2444622345
9801470270
10345187557
11167938580
1297729399
135668c8c0
1433bb7301
1520487bdc
hex149324e5

345187557 has 24 divisors (see below), whose sum is σ = 585775008. Its totient is φ = 193111200.

The previous prime is 345187553. The next prime is 345187571. The reversal of 345187557 is 755781543.

It is a happy number.

It is not a de Polignac number, because 345187557 - 22 = 345187553 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345187553) 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 23 ways as a sum of consecutive naturals, for example, 132819 + ... + 135392.

It is an arithmetic number, because the mean of its divisors is an integer number (24407292).

Almost surely, 2345187557 is an apocalyptic number.

It is an amenable number.

345187557 is a deficient number, since it is larger than the sum of its proper divisors (240587451).

345187557 is a wasteful number, since it uses less digits than its factorization.

345187557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268241 (or 268238 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 345187557 is about 18579.2237997178. The cubic root of 345187557 is about 701.4849815428.

It can be divided in two parts, 345187 and 557, that added together give a square (345744 = 5882).

The spelling of 345187557 in words is "three hundred forty-five million, one hundred eighty-seven thousand, five hundred fifty-seven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 268211 804633 2413899 2950321 3486743 8850963 10460229 26552889 31380687 38354173 115062519 345187557