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249306345 = 3255540141
BaseRepresentation
bin11101101110000…
…01110011101001
3122101010002000100
432313001303221
51002310300340
640423300013
76115032441
oct1667016351
9571102010
10249306345
111187aa602
126b5aa609
133c85ba62
1425179121
1516d48830
hexedc1ce9

249306345 has 12 divisors (see below), whose sum is σ = 432131076. Its totient is φ = 132963360.

The previous prime is 249306341. The next prime is 249306349. The reversal of 249306345 is 543603942.

249306345 is a `hidden beast` number, since 2 + 4 + 9 + 306 + 345 = 666.

It is an interprime number because it is at equal distance from previous prime (249306341) and next prime (249306349).

It can be written as a sum of positive squares in 2 ways, for example, as 108243216 + 141063129 = 10404^2 + 11877^2 .

It is not a de Polignac number, because 249306345 - 22 = 249306341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249306341) 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, 2770026 + ... + 2770115.

It is an arithmetic number, because the mean of its divisors is an integer number (36010923).

Almost surely, 2249306345 is an apocalyptic number.

It is an amenable number.

249306345 is a deficient number, since it is larger than the sum of its proper divisors (182824731).

249306345 is a wasteful number, since it uses less digits than its factorization.

249306345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540152 (or 5540149 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 249306345 is about 15789.4377670644. The cubic root of 249306345 is about 629.3773515623.

The spelling of 249306345 in words is "two hundred forty-nine million, three hundred six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 5540141 16620423 27700705 49861269 83102115 249306345