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272345000 = 235454469
BaseRepresentation
bin10000001110111…
…010011110101000
3200222110120002212
4100032322132220
51024210020000
643005144252
76514615514
oct2016723650
9628416085
10272345000
1112a805914
127725b088
13445672b5
1428255144
1518d99c35
hex103ba7a8

272345000 has 40 divisors (see below), whose sum is σ = 638116050. Its totient is φ = 108936000.

The previous prime is 272344957. The next prime is 272345009. The reversal of 272345000 is 543272.

It can be written as a sum of positive squares in 5 ways, for example, as 14485636 + 257859364 = 3806^2 + 16058^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (272345009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22235 + ... + 32234.

Almost surely, 2272345000 is an apocalyptic number.

272345000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272345000 is an abundant number, since it is smaller than the sum of its proper divisors (365771050).

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

272345000 is an equidigital number, since it uses as much as digits as its factorization.

272345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54495 (or 54476 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 272345000 is about 16502.8785367887. The cubic root of 272345000 is about 648.1961822804.

Adding to 272345000 its reverse (543272), we get a palindrome (272888272).

The spelling of 272345000 in words is "two hundred seventy-two million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 54469 108938 217876 272345 435752 544690 1089380 1361725 2178760 2723450 5446900 6808625 10893800 13617250 27234500 34043125 54469000 68086250 136172500 272345000