Base | Representation |
---|---|
bin | 11001000111001… |
… | …011111110000000 |
3 | 1002100202222202020 |
4 | 121013023332000 |
5 | 1330324030212 |
6 | 105450121440 |
7 | 13304053650 |
oct | 3107137600 |
9 | 1070688666 |
10 | 421314432 |
11 | 1a6903850 |
12 | b9120280 |
13 | 693950a6 |
14 | 3dd52360 |
15 | 26ec3d8c |
hex | 191cbf80 |
421314432 has 128 divisors (see below), whose sum is σ = 1395360000. Its totient is φ = 109424640.
The previous prime is 421314419. The next prime is 421314469. The reversal of 421314432 is 234413124.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×4213144322 = 355011701222965248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22444 + ... + 36692.
It is an arithmetic number, because the mean of its divisors is an integer number (10901250).
Almost surely, 2421314432 is an apocalyptic number.
421314432 is a gapful number since it is divisible by the number (42) 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 421314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680000).
421314432 is an abundant number, since it is smaller than the sum of its proper divisors (974045568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
421314432 is a wasteful number, since it uses less digits than its factorization.
421314432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14284 (or 14272 counting only the distinct ones).
The product of its digits is 2304, while the sum is 24.
The square root of 421314432 is about 20525.9453375478. The cubic root of 421314432 is about 749.6676643146.
Adding to 421314432 its reverse (234413124), we get a palindrome (655727556).
The spelling of 421314432 in words is "four hundred twenty-one million, three hundred fourteen thousand, four hundred thirty-two".
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