Base | Representation |
---|---|
bin | 10100000011111… |
… | …11011000111000 |
3 | 102201200012220001 |
4 | 22001333120320 |
5 | 321040401234 |
6 | 24411042344 |
7 | 4112321620 |
oct | 1201773070 |
9 | 381605801 |
10 | 168293944 |
11 | 86aa7805 |
12 | 484403b4 |
13 | 28b35920 |
14 | 184cb880 |
15 | eb94d14 |
hex | a07f638 |
168293944 has 128 divisors (see below), whose sum is σ = 427392000. Its totient is φ = 60331392.
The previous prime is 168293899. The next prime is 168294011. The reversal of 168293944 is 449392861.
168293944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (46).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 168293944 = 463 + 5523 = 4143 + 4603.
Its product of digits (373248) is a multiple of the sum of its prime divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 168293894 and 168293903.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7317117 + ... + 7317139.
It is an arithmetic number, because the mean of its divisors is an integer number (3339000).
Almost surely, 2168293944 is an apocalyptic number.
168293944 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 168293944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213696000).
168293944 is an abundant number, since it is smaller than the sum of its proper divisors (259098056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168293944 is a wasteful number, since it uses less digits than its factorization.
168293944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 114 (or 64 counting only the distinct ones).
The product of its digits is 373248, while the sum is 46.
The square root of 168293944 is about 12972.8155771983. The cubic root of 168293944 is about 552.1064609477.
The spelling of 168293944 in words is "one hundred sixty-eight million, two hundred ninety-three thousand, nine hundred forty-four".
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