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153312345 = 36542061
BaseRepresentation
bin10010010001101…
…01110001011001
3101200111002000000
421020311301121
5303221443340
623114003213
73541063524
oct1110656131
9350432000
10153312345
11795a491a
1243416509
13259bb784
141650bbbb
15d6d5d30
hex9235c59

153312345 has 28 divisors (see below), whose sum is σ = 275842596. Its totient is φ = 81764640.

The previous prime is 153312343. The next prime is 153312347. The reversal of 153312345 is 543213351.

153312345 is a `hidden beast` number, since 1 + 5 + 3 + 312 + 345 = 666.

It is an interprime number because it is at equal distance from previous prime (153312343) and next prime (153312347).

It can be written as a sum of positive squares in 2 ways, for example, as 118984464 + 34327881 = 10908^2 + 5859^2 .

It is not a de Polignac number, because 153312345 - 21 = 153312343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153312343) 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 27 ways as a sum of consecutive naturals, for example, 17386 + ... + 24675.

Almost surely, 2153312345 is an apocalyptic number.

153312345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153312345 is a deficient number, since it is larger than the sum of its proper divisors (122530251).

153312345 is an frugal number, since it uses more digits than its factorization.

153312345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42084 (or 42069 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 153312345 is about 12381.9362379234. The cubic root of 153312345 is about 535.2118356388.

Adding to 153312345 its reverse (543213351), we get a palindrome (696525696).

The spelling of 153312345 in words is "one hundred fifty-three million, three hundred twelve thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 42061 126183 210305 378549 630915 1135647 1892745 3406941 5678235 10220823 17034705 30662469 51104115 153312345