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332334333 = 38373
BaseRepresentation
bin10011110011110…
…000010011111101
3212011100100000000
4103303300103331
51140034144313
652551024513
711143536522
oct2363602375
9764310000
10332334333
11160659781
129336b139
1353b0c446
14321cd149
151e299673
hex13cf04fd

332334333 has 36 divisors (see below), whose sum is σ = 512322460. Its totient is φ = 215568216.

The previous prime is 332334329. The next prime is 332334349. The reversal of 332334333 is 333433233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

332334333 is a `hidden beast` number, since 3 + 323 + 3 + 4 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 257217444 + 75116889 = 16038^2 + 8667^2 .

It is not a de Polignac number, because 332334333 - 22 = 332334329 is a prime.

It is a super-2 number, since 2×3323343332 = 220892217781109778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 332334297 and 332334306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332330333) 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, 8981991 + ... + 8982027.

Almost surely, 2332334333 is an apocalyptic number.

It is an amenable number.

332334333 is a deficient number, since it is larger than the sum of its proper divisors (179988127).

332334333 is an frugal number, since it uses more digits than its factorization.

332334333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 40 counting only the distinct ones).

The product of its digits is 17496, while the sum is 27.

The square root of 332334333 is about 18230.0393033038. The cubic root of 332334333 is about 692.6679130763.

Multiplying 332334333 by its product of digits (17496), we get a cube (5814521490168 = 179823).

Adding to 332334333 its reverse (333433233), we get a palindrome (665767566).

The spelling of 332334333 in words is "three hundred thirty-two million, three hundred thirty-four thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 1369 2187 2997 4107 6561 8991 12321 26973 36963 50653 80919 110889 151959 242757 332667 455877 998001 1367631 2994003 4102893 8982009 12308679 36926037 110778111 332334333