Search a number
-
+
330824808 = 2332192931269
BaseRepresentation
bin10011101101111…
…111110001101000
3212001111122022200
4103231333301220
51134142343213
652454420200
711124651546
oct2355776150
9761448280
10330824808
1115a818636
1292961660
1353701332
1431d18d96
151e09c273
hex13b7fc68

330824808 has 192 divisors, whose sum is σ = 1010880000. Its totient is φ = 97251840.

The previous prime is 330824771. The next prime is 330824821. The reversal of 330824808 is 808428033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229698 + ... + 1229966.

It is an arithmetic number, because the mean of its divisors is an integer number (5265000).

Almost surely, 2330824808 is an apocalyptic number.

330824808 is a gapful number since it is divisible by the number (38) 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 330824808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505440000).

330824808 is an abundant number, since it is smaller than the sum of its proper divisors (680055192).

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

330824808 is a wasteful number, since it uses less digits than its factorization.

330824808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 330824808 is about 18188.5900498087. The cubic root of 330824808 is about 691.6175785811.

The spelling of 330824808 in words is "three hundred thirty million, eight hundred twenty-four thousand, eight hundred eight".