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54322345 = 57112101127
BaseRepresentation
bin1100111100111…
…0010010101001
310210012212020201
43033032102221
5102401303340
65220152201
71226506120
oct317162251
9123185221
1054322345
1128733200
1216238661
13b33c8cc
147300ab7
154b8079a
hex33ce4a9

54322345 has 48 divisors (see below), whose sum is σ = 83349504. Its totient is φ = 33264000.

The previous prime is 54322339. The next prime is 54322369.

54322345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54322345 - 215 = 54289577 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427672 + ... + 427798.

It is an arithmetic number, because the mean of its divisors is an integer number (1736448).

Almost surely, 254322345 is an apocalyptic number.

54322345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54322345 is a deficient number, since it is larger than the sum of its proper divisors (29027159).

54322345 is a wasteful number, since it uses less digits than its factorization.

54322345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its digits is 14400, while the sum is 28.

The square root of 54322345 is about 7370.3693937278. The cubic root of 54322345 is about 378.7269146179.

It can be divided in two parts, 5432 and 2345, that added together give a palindrome (7777).

The spelling of 54322345 in words is "fifty-four million, three hundred twenty-two thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 55 77 101 121 127 385 505 605 635 707 847 889 1111 1397 3535 4235 4445 5555 6985 7777 9779 12221 12827 15367 38885 48895 61105 64135 76835 85547 89789 107569 141097 427735 448945 537845 705485 987679 1552067 4938395 7760335 10864469 54322345