Base | Representation |
---|---|
bin | 10111111011001… |
… | …110110010010000 |
3 | 1000222022101102200 |
4 | 113323032302100 |
5 | 1310224344044 |
6 | 103455243200 |
7 | 12642604131 |
oct | 2773166220 |
9 | 1028271380 |
10 | 401403024 |
11 | 196644040 |
12 | b2519500 |
13 | 652130a9 |
14 | 3b44bc88 |
15 | 2538e369 |
hex | 17ecec90 |
401403024 has 120 divisors (see below), whose sum is σ = 1232328864. Its totient is φ = 120960000.
The previous prime is 401403017. The next prime is 401403043. The reversal of 401403024 is 420304104.
It is a super-2 number, since 2×4014030242 = 322248775352689152, 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 = 401402988 and 401403006.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333624 + ... + 334824.
Almost surely, 2401403024 is an apocalyptic number.
401403024 is a gapful number since it is divisible by the number (44) 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 401403024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616164432).
401403024 is an abundant number, since it is smaller than the sum of its proper divisors (830925840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401403024 is a wasteful number, since it uses less digits than its factorization.
401403024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1437 (or 1428 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 401403024 is about 20035.0448963809. The cubic root of 401403024 is about 737.6667585754. Note that the first 3 decimals are identical.
Adding to 401403024 its reverse (420304104), we get a palindrome (821707128).
The spelling of 401403024 in words is "four hundred one million, four hundred three thousand, twenty-four".
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