Search a number
-
+
331668036 = 223271316143
BaseRepresentation
bin10011110001001…
…101101001000100
3212010002111000100
4103301031221010
51134401334121
652524444100
711135063130
oct2361155104
9763074010
10331668036
11160244117
12930a9630
135393809b
14320983c0
151e1b7026
hex13c4da44

331668036 has 36 divisors (see below), whose sum is σ = 958152832. Its totient is φ = 94762224.

The previous prime is 331668031. The next prime is 331668059. The reversal of 331668036 is 630866133.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3316680362 = 220007372208194592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (331668031) 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 11 ways as a sum of consecutive naturals, for example, 657820 + ... + 658323.

Almost surely, 2331668036 is an apocalyptic number.

331668036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

331668036 is an abundant number, since it is smaller than the sum of its proper divisors (626484796).

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

331668036 is a wasteful number, since it uses less digits than its factorization.

331668036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316160 (or 1316155 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 331668036 is about 18211.7554343342. The cubic root of 331668036 is about 692.2046934747.

The spelling of 331668036 in words is "three hundred thirty-one million, six hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1316143 2632286 3948429 5264572 7896858 9213001 11845287 15793716 18426002 23690574 27639003 36852004 47381148 55278006 82917009 110556012 165834018 331668036