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331332114 = 23374361569
BaseRepresentation
bin10011101111111…
…011101000010010
3212002110102012210
4103233323220102
51134310111424
652513332550
711132163561
oct2357735022
9762412183
10331332114
111600347a3
1292b67156
135384b209
143200bbd8
151e14c729
hex13bfba12

331332114 has 64 divisors (see below), whose sum is σ = 709061760. Its totient is φ = 103057920.

The previous prime is 331332107. The next prime is 331332119. The reversal of 331332114 is 411233133.

331332114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (331332119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582022 + ... + 582590.

It is an arithmetic number, because the mean of its divisors is an integer number (11079090).

Almost surely, 2331332114 is an apocalyptic number.

331332114 is an abundant number, since it is smaller than the sum of its proper divisors (377729646).

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

331332114 is a wasteful number, since it uses less digits than its factorization.

331332114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715.

The product of its digits is 648, while the sum is 21.

The square root of 331332114 is about 18202.5304284871. The cubic root of 331332114 is about 691.9709202366.

Adding to 331332114 its reverse (411233133), we get a palindrome (742565247).

The spelling of 331332114 in words is "three hundred thirty-one million, three hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 37 43 61 74 86 111 122 129 183 222 258 366 569 1138 1591 1707 2257 2623 3182 3414 4514 4773 5246 6771 7869 9546 13542 15738 21053 24467 34709 42106 48934 63159 69418 73401 97051 104127 126318 146802 194102 208254 291153 582306 905279 1284233 1492487 1810558 2568466 2715837 2984974 3852699 4477461 5431674 7705398 8954922 55222019 110444038 165666057 331332114