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332972289 = 3413316213
BaseRepresentation
bin10011110110001…
…100000100000001
3212012112202010000
4103312030010001
51140220103124
653012430213
711152134456
oct2366140401
9765482100
10332972289
11160a55011
1293618369
1353ca3930
143231782d
151e3736c9
hex13d8c101

332972289 has 20 divisors (see below), whose sum is σ = 535666516. Its totient is φ = 204905376.

The previous prime is 332972279. The next prime is 332972309. The reversal of 332972289 is 982279233.

332972289 is a `hidden beast` number, since 332 + 97 + 228 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171479025 + 161493264 = 13095^2 + 12708^2 .

It is not a de Polignac number, because 332972289 - 25 = 332972257 is a prime.

It is a super-2 number, since 2×3329722892 = 221741090483799042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332972239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157054 + ... + 159159.

Almost surely, 2332972289 is an apocalyptic number.

332972289 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

332972289 is a deficient number, since it is larger than the sum of its proper divisors (202694227).

332972289 is a wasteful number, since it uses less digits than its factorization.

332972289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316238 (or 316229 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 332972289 is about 18247.5282983751. The cubic root of 332972289 is about 693.1108497554.

The spelling of 332972289 in words is "three hundred thirty-two million, nine hundred seventy-two thousand, two hundred eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 351 1053 316213 948639 2845917 4110769 8537751 12332307 25613253 36996921 110990763 332972289