| Base | Representation |
|---|---|
| bin | 10111111011010… |
| … | …101101100011000 |
| 3 | 1000222100211020200 |
| 4 | 113323111230120 |
| 5 | 1310231300240 |
| 6 | 103500022200 |
| 7 | 12643052463 |
| oct | 2773255430 |
| 9 | 1028324220 |
| 10 | 401431320 |
| 11 | 196663324 |
| 12 | b2531960 |
| 13 | 65222c34 |
| 14 | 3b4582da |
| 15 | 25397930 |
| hex | 17ed5b18 |
401431320 has 96 divisors (see below), whose sum is σ = 1307124000. Its totient is φ = 106845696.
The previous prime is 401431313. The next prime is 401431321. The reversal of 401431320 is 23134104.
It is a super-2 number, since 2×4014313202 = 322294209353884800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 401431293 and 401431302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (401431321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377109 + ... + 378171.
It is an arithmetic number, because the mean of its divisors is an integer number (13615875).
Almost surely, 2401431320 is an apocalyptic number.
401431320 is a gapful number since it is divisible by the number (40) 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 401431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562000).
401431320 is an abundant number, since it is smaller than the sum of its proper divisors (905692680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401431320 is a wasteful number, since it uses less digits than its factorization.
401431320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 401431320 is about 20035.7510465667. The cubic root of 401431320 is about 737.6840915524.
Adding to 401431320 its reverse (23134104), we get a palindrome (424565424).
The spelling of 401431320 in words is "four hundred one million, four hundred thirty-one thousand, three hundred twenty".
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