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332430053 = 17261109173
BaseRepresentation
bin10011110100000…
…111101011100101
3212011112012022012
4103310013223211
51140100230203
652553044005
711144415554
oct2364075345
9764465265
10332430053
1116071468a
12933b6605
1353b43b97
1432215d9b
151e2b7bd8
hex13d07ae5

332430053 has 24 divisors (see below), whose sum is σ = 364310760. Its totient is φ = 303160320.

The previous prime is 332430047. The next prime is 332430079. The reversal of 332430053 is 350034233.

It can be written as a sum of positive squares in 12 ways, for example, as 1117249 + 331312804 = 1057^2 + 18202^2 .

It is not a de Polignac number, because 332430053 - 216 = 332364517 is a prime.

It is a super-2 number, since 2×3324300532 = 221019480275165618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332430083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921475 + ... + 1921647.

It is an arithmetic number, because the mean of its divisors is an integer number (15179615).

Almost surely, 2332430053 is an apocalyptic number.

It is an amenable number.

332430053 is a deficient number, since it is larger than the sum of its proper divisors (31880707).

332430053 is a wasteful number, since it uses less digits than its factorization.

332430053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 23.

The square root of 332430053 is about 18232.6644514728. The cubic root of 332430053 is about 692.7344081703.

Adding to 332430053 its reverse (350034233), we get a palindrome (682464286).

The spelling of 332430053 in words is "three hundred thirty-two million, four hundred thirty thousand, fifty-three".

Divisors: 1 17 61 109 173 289 1037 1853 2941 6649 10553 17629 18857 31501 49997 113033 179401 320569 1150277 1921561 3049817 5449673 19554709 332430053