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345214593 = 32320911953
BaseRepresentation
bin10100100100111…
…000111010000001
3220001120201101200
4110210320322001
51201333331333
654131051413
711361163353
oct2444707201
9801521350
10345214593
11167956919
1297740b69
135669bcb9
1433bc30d3
1520490c13
hex14938e81

345214593 has 12 divisors (see below), whose sum is σ = 498840420. Its totient is φ = 230052096.

The previous prime is 345214501. The next prime is 345214627. The reversal of 345214593 is 395412543.

345214593 is a `hidden beast` number, since 3 + 4 + 52 + 14 + 593 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260887104 + 84327489 = 16152^2 + 9183^2 .

It is not a de Polignac number, because 345214593 - 29 = 345214081 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (345214193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22905 + ... + 34857.

It is an arithmetic number, because the mean of its divisors is an integer number (41570035).

Almost surely, 2345214593 is an apocalyptic number.

It is an amenable number.

345214593 is a deficient number, since it is larger than the sum of its proper divisors (153625827).

345214593 is a wasteful number, since it uses less digits than its factorization.

345214593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15168 (or 15165 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 345214593 is about 18579.9513723799. The cubic root of 345214593 is about 701.5032951161.

The spelling of 345214593 in words is "three hundred forty-five million, two hundred fourteen thousand, five hundred ninety-three".

Divisors: 1 3 9 3209 9627 11953 28881 35859 107577 38357177 115071531 345214593