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148168384 = 26713219103
BaseRepresentation
bin10001101010011…
…01111011000000
3101022210201210221
420311031323000
5300412342014
622411432424
73446260540
oct1065157300
9338721727
10148168384
1176701111
1241755714
132490a300
141596d320
15d01bb24
hex8d4dec0

148168384 has 168 divisors, whose sum is σ = 386730240. Its totient is φ = 54991872.

The previous prime is 148168303. The next prime is 148168399. The reversal of 148168384 is 483861841.

148168384 is nontrivially palindromic in base 12.

Its product of digits (147456) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 148168384.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1438477 + ... + 1438579.

Almost surely, 2148168384 is an apocalyptic number.

148168384 is a gapful number since it is divisible by the number (14) 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 148168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193365120).

148168384 is an abundant number, since it is smaller than the sum of its proper divisors (238561856).

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

148168384 is a wasteful number, since it uses less digits than its factorization.

148168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 148168384 is about 12172.4436330591. The cubic root of 148168384 is about 529.1577747020.

The spelling of 148168384 in words is "one hundred forty-eight million, one hundred sixty-eight thousand, three hundred eighty-four".