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4272345 = 345711137
BaseRepresentation
bin10000010011000011011001
322001001120000
4100103003121
52043203340
6231323213
751212550
oct20230331
98031500
104272345
112458970
121520509
13b6781c
147d2d97
15595d30
hex4130d9

4272345 has 80 divisors (see below), whose sum is σ = 9618048. Its totient is φ = 1762560.

The previous prime is 4272343. The next prime is 4272349. The reversal of 4272345 is 5432724.

4272345 is a `hidden beast` number, since 427 + 234 + 5 = 666.

It is not a de Polignac number, because 4272345 - 21 = 4272343 is a prime.

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

It is a d-powerful number, because it can be written as 4 + 27 + 75 + 211 + 310 + 411 + 5 .

It is not an unprimeable number, because it can be changed into a prime (4272341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31117 + ... + 31253.

Almost surely, 24272345 is an apocalyptic number.

4272345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4272345 is an abundant number, since it is smaller than the sum of its proper divisors (5345703).

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

4272345 is a wasteful number, since it uses less digits than its factorization.

4272345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 4272345 is about 2066.9651666151. The cubic root of 4272345 is about 162.2639729246.

It can be divided in two parts, 427 and 2345, that added together give a palindrome (2772).

The spelling of 4272345 in words is "four million, two hundred seventy-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 137 165 189 231 297 315 385 405 411 495 567 685 693 891 945 959 1155 1233 1485 1507 2055 2079 2835 2877 3465 3699 4455 4521 4795 6165 6237 7535 8631 10395 10549 11097 13563 14385 18495 22605 25893 31185 31647 40689 43155 52745 55485 67815 77679 94941 122067 129465 158235 203445 284823 388395 474705 610335 854469 1424115 4272345