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116334468 = 22341721121
BaseRepresentation
bin1101110111100…
…01111110000100
322002220101220000
412323301332010
5214240200333
615313241300
72611553355
oct673617604
9262811800
10116334468
115a738898
1232b63230
131b142683
1411643d2c
15a32e713
hex6ef1f84

116334468 has 60 divisors (see below), whose sum is σ = 322026012. Its totient is φ = 36495360.

The previous prime is 116334467. The next prime is 116334469. The reversal of 116334468 is 864433611.

It is a happy number.

116334468 is a `hidden beast` number, since 1 + 163 + 34 + 468 = 666.

It is an interprime number because it is at equal distance from previous prime (116334467) and next prime (116334469).

It can be written as a sum of positive squares in 2 ways, for example, as 87946884 + 28387584 = 9378^2 + 5328^2 .

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 (116334461) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5053 + ... + 16068.

Almost surely, 2116334468 is an apocalyptic number.

116334468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116334468 is an abundant number, since it is smaller than the sum of its proper divisors (205691544).

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

116334468 is a wasteful number, since it uses less digits than its factorization.

116334468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21154 (or 21143 counting only the distinct ones).

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

The square root of 116334468 is about 10785.8457248377. The cubic root of 116334468 is about 488.1681819764.

The spelling of 116334468 in words is "one hundred sixteen million, three hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 21121 42242 63363 84484 126726 190089 253452 359057 380178 570267 718114 760356 1077171 1140534 1436228 1710801 2154342 2281068 3231513 3421602 4308684 6463026 6843204 9694539 12926052 19389078 29083617 38778156 58167234 116334468