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328378050 = 2385271113
BaseRepresentation
bin10011100100101…
…010011011000010
3211212220100000000
4103210222123002
51133031044200
652330140430
711065111260
oct2344523302
9755810000
10328378050
111593a7320
1291b81716
1353055750
143187d430
151dc67300
hex1392a6c2

328378050 has 432 divisors, whose sum is σ = 1230046272. Its totient is φ = 62985600.

The previous prime is 328378027. The next prime is 328378051. The reversal of 328378050 is 50873823.

It is a junction number, because it is equal to n+sod(n) for n = 328377996 and 328378014.

It is not an unprimeable number, because it can be changed into a prime (328378051) 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 215 ways as a sum of consecutive naturals, for example, 25259844 + ... + 25259856.

Almost surely, 2328378050 is an apocalyptic number.

328378050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328378050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615023136).

328378050 is an abundant number, since it is smaller than the sum of its proper divisors (901668222).

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

328378050 is a wasteful number, since it uses less digits than its factorization.

328378050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 328378050 is about 18121.2044301696. The cubic root of 328378050 is about 689.9083053955.

The spelling of 328378050 in words is "three hundred twenty-eight million, three hundred seventy-eight thousand, fifty".