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1332414321 = 372171015279
BaseRepresentation
bin100111101101011…
…0000011101110001
310102212011122211120
41033122300131301
510212044224241
6340114132453
745006222600
oct11732603561
93385148746
101332414321
11624127667
12312281129
13183076b54
14c8d5ba37
157be94666
hex4f6b0771

1332414321 has 48 divisors (see below), whose sum is σ = 2210250240. Its totient is φ = 709363200.

The previous prime is 1332414319. The next prime is 1332414337. The reversal of 1332414321 is 1234142331.

It is a happy number.

It is not a de Polignac number, because 1332414321 - 21 = 1332414319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1332414291 and 1332414300.

It is not an unprimeable number, because it can be changed into a prime (1332414361) 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 47 ways as a sum of consecutive naturals, for example, 249760 + ... + 255038.

It is an arithmetic number, because the mean of its divisors is an integer number (46046880).

Almost surely, 21332414321 is an apocalyptic number.

It is an amenable number.

1332414321 is a deficient number, since it is larger than the sum of its proper divisors (877835919).

1332414321 is a wasteful number, since it uses less digits than its factorization.

1332414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5407 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1332414321 is about 36502.2509031977. The cubic root of 1332414321 is about 1100.3894821881.

Adding to 1332414321 its reverse (1234142331), we get a palindrome (2566556652).

The spelling of 1332414321 in words is "one billion, three hundred thirty-two million, four hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 7 17 21 49 51 101 119 147 303 357 707 833 1717 2121 2499 4949 5151 5279 12019 14847 15837 36057 36953 84133 89743 110859 252399 258671 269229 533179 628201 776013 1599537 1884603 3732253 4397407 9064043 11196759 13192221 26125771 27192129 63448301 78377313 190344903 444138107 1332414321