Base | Representation |
---|---|
bin | 11010001000000… |
… | …111111100111100 |
3 | 1010112210211210022 |
4 | 122020013330330 |
5 | 1344203243330 |
6 | 111255031312 |
7 | 13601543300 |
oct | 3210077474 |
9 | 1115724708 |
10 | 438337340 |
11 | 205480371 |
12 | 10296b538 |
13 | 6ca7540c |
14 | 42303d00 |
15 | 28737ae5 |
hex | 1a207f3c |
438337340 has 72 divisors (see below), whose sum is σ = 1074714480. Its totient is φ = 149737728.
The previous prime is 438337337. The next prime is 438337343. The reversal of 438337340 is 43733834.
It is an interprime number because it is at equal distance from previous prime (438337337) and next prime (438337343).
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 438337340.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (438337343) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339416 + ... + 340704.
It is an arithmetic number, because the mean of its divisors is an integer number (14926590).
Almost surely, 2438337340 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 438337340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537357240).
438337340 is an abundant number, since it is smaller than the sum of its proper divisors (636377140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
438337340 is a wasteful number, since it uses less digits than its factorization.
438337340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1659 (or 1650 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 35.
The square root of 438337340 is about 20936.5073496035. The cubic root of 438337340 is about 759.6312500136.
The spelling of 438337340 in words is "four hundred thirty-eight million, three hundred thirty-seven thousand, three hundred forty".
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