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331332108 = 2231719731171
BaseRepresentation
bin10011101111111…
…011101000001100
3212002110102012120
4103233323220030
51134310111413
652513332540
711132163552
oct2357735014
9762412176
10331332108
11160034798
1292b67150
135384b203
143200bbd2
151e14c723
hex13bfba0c

331332108 has 96 divisors (see below), whose sum is σ = 874218240. Its totient is φ = 97044480.

The previous prime is 331332107. The next prime is 331332119. The reversal of 331332108 is 801233133.

331332108 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 (331332101) 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, 282363 + ... + 283533.

It is an arithmetic number, because the mean of its divisors is an integer number (9106440).

Almost surely, 2331332108 is an apocalyptic number.

331332108 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 331332108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437109120).

331332108 is an abundant number, since it is smaller than the sum of its proper divisors (542886132).

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

331332108 is a wasteful number, since it uses less digits than its factorization.

331332108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 331332108 is about 18202.5302636749. The cubic root of 331332108 is about 691.9709160597.

The spelling of 331332108 in words is "three hundred thirty-one million, three hundred thirty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 73 76 102 114 146 204 219 228 292 323 438 646 876 969 1171 1241 1292 1387 1938 2342 2482 2774 3513 3723 3876 4161 4684 4964 5548 7026 7446 8322 14052 14892 16644 19907 22249 23579 39814 44498 47158 59721 66747 70737 79628 85483 88996 94316 119442 133494 141474 170966 238884 256449 266988 282948 341932 378233 512898 756466 1025796 1134699 1453211 1512932 1624177 2269398 2906422 3248354 4359633 4538796 4872531 5812844 6496708 8719266 9745062 17438532 19490124 27611009 55222018 82833027 110444036 165666054 331332108