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116348364 = 2232111012909
BaseRepresentation
bin1101110111101…
…01010111001100
322002221002221200
412323311113030
5214241121424
615313425500
72611642026
oct673652714
9262832850
10116348364
115a748280
1232b6b290
131b148ab2
1411649016
15a3338c9
hex6ef55cc

116348364 has 72 divisors (see below), whose sum is σ = 324127440. Its totient is φ = 34896000.

The previous prime is 116348341. The next prime is 116348371. The reversal of 116348364 is 463843611.

It is a happy number.

116348364 is a `hidden beast` number, since 11 + 634 + 8 + 3 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38542 + ... + 41450.

It is an arithmetic number, because the mean of its divisors is an integer number (4501770).

Almost surely, 2116348364 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 116348364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162063720).

116348364 is an abundant number, since it is smaller than the sum of its proper divisors (207779076).

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

116348364 is a wasteful number, since it uses less digits than its factorization.

116348364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3026 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 116348364 is about 10786.4898831826. The cubic root of 116348364 is about 488.1876182194.

The spelling of 116348364 in words is "one hundred sixteen million, three hundred forty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 2909 3333 3636 4444 5818 6666 8727 9999 11636 13332 17454 19998 26181 31999 34908 39996 52362 63998 95997 104724 127996 191994 287991 293809 383988 575982 587618 881427 1151964 1175236 1762854 2644281 3231899 3525708 5288562 6463798 9695697 10577124 12927596 19391394 29087091 38782788 58174182 116348364