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332340021 = 321321712853
BaseRepresentation
bin10011110011110…
…001101100110101
3212011100121210200
4103303301230311
51140034340041
652551111113
711143562226
oct2363615465
9764317720
10332340021
11160662a82
1293372499
1353b11c00
14321d124d
151e29b1b6
hex13cf1b35

332340021 has 36 divisors (see below), whose sum is σ = 550433988. Its totient is φ = 192471552.

The previous prime is 332340013. The next prime is 332340023. The reversal of 332340021 is 120043233.

It can be written as a sum of positive squares in 6 ways, for example, as 45037521 + 287302500 = 6711^2 + 16950^2 .

It is not a de Polignac number, because 332340021 - 23 = 332340013 is a prime.

It is a super-2 number, since 2×3323400212 = 220899779116560882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332339976 and 332340003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332340023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19431 + ... + 32283.

It is an arithmetic number, because the mean of its divisors is an integer number (15289833).

Almost surely, 2332340021 is an apocalyptic number.

It is an amenable number.

332340021 is a deficient number, since it is larger than the sum of its proper divisors (218093967).

332340021 is a wasteful number, since it uses less digits than its factorization.

332340021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12902 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 332340021 is about 18230.1953088825. The cubic root of 332340021 is about 692.6718647922.

Adding to 332340021 its reverse (120043233), we get a palindrome (452383254).

The spelling of 332340021 in words is "three hundred thirty-two million, three hundred forty thousand, twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 507 663 1521 1989 2873 8619 12853 25857 38559 115677 167089 218501 501267 655503 1503801 1966509 2172157 2840513 6516471 8521539 19549413 25564617 36926669 110780007 332340021