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331666768 = 2431797839
BaseRepresentation
bin10011110001001…
…101010101010000
3212010002102021101
4103301031111100
51134401314033
652524434144
711135056336
oct2361152520
9763072241
10331666768
11160243174
12930a8954
1353937634
1432097b56
151e1b697d
hex13c4d550

331666768 has 40 divisors (see below), whose sum is σ = 664957440. Its totient is φ = 160091520.

The previous prime is 331666763. The next prime is 331666847. The reversal of 331666768 is 867666133.

It is a super-2 number, since 2×3316667682 = 220005689991131648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331666763) 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 7 ways as a sum of consecutive naturals, for example, 394893 + ... + 395731.

It is an arithmetic number, because the mean of its divisors is an integer number (16623936).

Almost surely, 2331666768 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 331666768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720).

331666768 is an abundant number, since it is smaller than the sum of its proper divisors (333290672).

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

331666768 is a wasteful number, since it uses less digits than its factorization.

331666768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1669 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 331666768 is about 18211.7206216217. The cubic root of 331666768 is about 692.2038113511.

The spelling of 331666768 in words is "three hundred thirty-one million, six hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 797 839 1594 1678 3188 3356 6376 6712 12752 13424 24707 26009 49414 52018 98828 104036 197656 208072 395312 416144 668683 1337366 2674732 5349464 10698928 20729173 41458346 82916692 165833384 331666768