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150000345 = 325111941389
BaseRepresentation
bin10001111000011…
…01001011011001
3101110020210210100
420330031023121
5301400002340
622515010013
73500660535
oct1074151331
9343223710
10150000345
1177742530
1242299909
13250cc101
1415cc8bc5
15d27e830
hex8f0d2d9

150000345 has 96 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 67046400.

The previous prime is 150000343. The next prime is 150000353. The reversal of 150000345 is 543000051.

150000345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 150000345 - 21 = 150000343 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (150000343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385411 + ... + 385799.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2150000345 is an apocalyptic number.

150000345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150000345 is an abundant number, since it is smaller than the sum of its proper divisors (156633255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150000345 is a wasteful number, since it uses less digits than its factorization.

150000345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 150000345 is about 12247.4627984738. The cubic root of 150000345 is about 531.3296919434.

Adding to 150000345 its reverse (543000051), we get a palindrome (693000396).

The spelling of 150000345 in words is "one hundred fifty million, three hundred forty-five", and thus it is an aban number.

Divisors: 1 3 5 9 11 15 19 33 41 45 55 57 95 99 123 165 171 205 209 285 369 389 451 495 615 627 779 855 1045 1167 1353 1845 1881 1945 2255 2337 3135 3501 3895 4059 4279 5835 6765 7011 7391 8569 9405 11685 12837 15949 17505 20295 21395 22173 25707 35055 36955 38511 42845 47847 64185 66519 77121 79745 81301 110865 128535 143541 175439 192555 239235 243903 303031 332595 385605 406505 526317 717705 731709 877195 909093 1219515 1515155 1578951 2631585 2727279 3333341 3658545 4545465 7894755 10000023 13636395 16666705 30000069 50000115 150000345