Search a number
-
+
330842160 = 2432511371129
BaseRepresentation
bin10011101110000…
…100000000110000
3212001112112010100
4103232010000300
51134143422120
652455032400
711125053255
oct2356040060
9761475110
10330842160
1115a82a680
129296b700
13537091bc
1431d2142c
151e0a2490
hex13b84030

330842160 has 240 divisors, whose sum is σ = 1245947040. Its totient is φ = 77967360.

The previous prime is 330842159. The next prime is 330842167. The reversal of 330842160 is 61248033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (330842167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292476 + ... + 293604.

It is an arithmetic number, because the mean of its divisors is an integer number (5191446).

Almost surely, 2330842160 is an apocalyptic number.

330842160 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 330842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622973520).

330842160 is an abundant number, since it is smaller than the sum of its proper divisors (915104880).

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

330842160 is a wasteful number, since it uses less digits than its factorization.

330842160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 330842160 is about 18189.0670458933. The cubic root of 330842160 is about 691.6296703168.

The spelling of 330842160 in words is "three hundred thirty million, eight hundred forty-two thousand, one hundred sixty".