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327220080 = 2435111723317
BaseRepresentation
bin10011100000001…
…111101101110000
3211210201111120020
4103200033231300
51132232020310
652245243440
711052216255
oct2340175560
9753644506
10327220080
11158786320
1291703580
1352a3b665
143165b42c
151dad9170
hex1380fb70

327220080 has 320 divisors, whose sum is σ = 1226492928. Its totient is φ = 71188480.

The previous prime is 327220051. The next prime is 327220081. The reversal of 327220080 is 80022723.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 327220080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327220081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1032082 + ... + 1032398.

Almost surely, 2327220080 is an apocalyptic number.

327220080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613246464).

327220080 is an abundant number, since it is smaller than the sum of its proper divisors (899272848).

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

327220080 is a wasteful number, since it uses less digits than its factorization.

327220080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 327220080 is about 18089.2255223932. The cubic root of 327220080 is about 689.0964017390.

The spelling of 327220080 in words is "three hundred twenty-seven million, two hundred twenty thousand, eighty".