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330420376 = 231113367787
BaseRepresentation
bin10011101100011…
…101000010011000
3212000202002112201
4103230131002120
51134041423001
652442015544
711121345466
oct2354350230
9760662481
10330420376
1115a5717a0
12927a75b4
13535bc220
1431c51836
151e01c501
hex13b1d098

330420376 has 64 divisors (see below), whose sum is σ = 730759680. Its totient is φ = 138084480.

The previous prime is 330420373. The next prime is 330420379. The reversal of 330420376 is 673024033.

It is an interprime number because it is at equal distance from previous prime (330420373) and next prime (330420379).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330420371) 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 15 ways as a sum of consecutive naturals, for example, 419455 + ... + 420241.

It is an arithmetic number, because the mean of its divisors is an integer number (11418120).

Almost surely, 2330420376 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 330420376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365379840).

330420376 is an abundant number, since it is smaller than the sum of its proper divisors (400339304).

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

330420376 is a wasteful number, since it uses less digits than its factorization.

330420376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 330420376 is about 18177.4689107147. The cubic root of 330420376 is about 691.3356304183.

The spelling of 330420376 in words is "three hundred thirty million, four hundred twenty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 367 572 734 787 1144 1468 1574 2936 3148 4037 4771 6296 8074 8657 9542 10231 16148 17314 19084 20462 32296 34628 38168 40924 52481 69256 81848 104962 112541 209924 225082 288829 419848 450164 577658 900328 1155316 2310632 3177119 3754777 6354238 7509554 12708476 15019108 25416952 30038216 41302547 82605094 165210188 330420376