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34203312 = 243211213151
BaseRepresentation
bin1000001001111…
…0011010110000
32101100201010100
42002132122300
532224001222
63221032400
7563503053
oct202363260
971321110
1034203312
1118341500
12b555700
137117260
144784a9a
1530094ac
hex209e6b0

34203312 has 180 divisors, whose sum is σ = 114058672. Its totient is φ = 9504000.

The previous prime is 34203293. The next prime is 34203317. The reversal of 34203312 is 21330243.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34203317) 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 35 ways as a sum of consecutive naturals, for example, 226437 + ... + 226587.

Almost surely, 234203312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57029336).

34203312 is an abundant number, since it is smaller than the sum of its proper divisors (79855360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34203312 is a wasteful number, since it uses less digits than its factorization.

34203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

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

The square root of 34203312 is about 5848.3597700552. The cubic root of 34203312 is about 324.6056344782.

Adding to 34203312 its reverse (21330243), we get a palindrome (55533555).

The spelling of 34203312 in words is "thirty-four million, two hundred three thousand, three hundred twelve".