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332142993 = 327133071321
BaseRepresentation
bin10011110011000…
…001100110010001
3212010222121112100
4103303001212101
51140012033433
652542551013
711142111630
oct2363014621
9763877470
10332142993
11160538a46
1293298469
1353a73320
143217d517
151e25cb13
hex13cc1991

332142993 has 48 divisors (see below), whose sum is σ = 592848256. Its totient is φ = 174493440.

The previous prime is 332142989. The next prime is 332143001. The reversal of 332142993 is 399241233.

It is not a de Polignac number, because 332142993 - 22 = 332142989 is a prime.

It is a super-2 number, since 2×3321429932 = 220637935597996098, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332142953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250773 + ... + 252093.

Almost surely, 2332142993 is an apocalyptic number.

It is an amenable number.

332142993 is a deficient number, since it is larger than the sum of its proper divisors (260705263).

332142993 is a wasteful number, since it uses less digits than its factorization.

332142993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1651 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 332142993 is about 18224.7906160812. The cubic root of 332142993 is about 692.5349540759.

The spelling of 332142993 in words is "three hundred thirty-two million, one hundred forty-two thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 307 819 921 1321 2149 2763 3963 3991 6447 9247 11889 11973 17173 19341 27741 27937 35919 51519 83223 83811 120211 154557 251433 360633 405547 1081899 1216641 2838829 3649923 5272111 8516487 15816333 25549461 36904777 47448999 110714331 332142993