Base | Representation |
---|---|
bin | 111110010101… |
… | …111001101000 |
3 | 1010202021212200 |
4 | 332111321220 |
5 | 13140431012 |
6 | 1342140200 |
7 | 255624105 |
oct | 76257150 |
9 | 33667780 |
10 | 16342632 |
11 | 9252509 |
12 | 5581660 |
13 | 35027c7 |
14 | 2255aac |
15 | 167c3dc |
hex | f95e68 |
16342632 has 48 divisors (see below), whose sum is σ = 44998980. Its totient is φ = 5358240.
The previous prime is 16342621. The next prime is 16342633. The reversal of 16342632 is 23624361.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
16342632 is a `hidden beast` number, since 1 + 634 + 26 + 3 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1179396 + 15163236 = 1086^2 + 3894^2 .
It is a nude number because it is divisible by every one of its digits.
It is a plaindrome in base 14.
It is a junction number, because it is equal to n+sod(n) for n = 16342596 and 16342605.
It is not an unprimeable number, because it can be changed into a prime (16342633) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267882 + ... + 267942.
Almost surely, 216342632 is an apocalyptic number.
16342632 is a gapful number since it is divisible by the number (12) 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 16342632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499490).
16342632 is an abundant number, since it is smaller than the sum of its proper divisors (28656348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16342632 is an frugal number, since it uses more digits than its factorization.
16342632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 195 (or 66 counting only the distinct ones).
The product of its digits is 5184, while the sum is 27.
The square root of 16342632 is about 4042.6021322905. The cubic root of 16342632 is about 253.7702264123.
Multiplying 16342632 by its product of digits (5184), we get a cube (84720204288 = 43923).
Adding to 16342632 its reverse (23624361), we get a palindrome (39966993).
The spelling of 16342632 in words is "sixteen million, three hundred forty-two thousand, six hundred thirty-two".
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