| Base | Representation |
|---|---|
| bin | 100111110001001… |
| … | …0111110010100000 |
| 3 | 10102222221001221102 |
| 4 | 1033202113302200 |
| 5 | 10213102113100 |
| 6 | 340225013532 |
| 7 | 45032205221 |
| oct | 11742276240 |
| 9 | 3388831842 |
| 10 | 1334410400 |
| 11 | 625270314 |
| 12 | 312a842a8 |
| 13 | 1835c556b |
| 14 | c931b248 |
| 15 | 7c23acd5 |
| hex | 4f897ca0 |
1334410400 has 72 divisors (see below), whose sum is σ = 3333474144. Its totient is φ = 521337600.
The previous prime is 1334410397. The next prime is 1334410403. The reversal of 1334410400 is 40144331.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1334410397) and next prime (1334410403).
It is a super-2 number, since 2×13344104002 = 3561302231256320000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (1334410403) 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, 15005 + ... + 53795.
It is an arithmetic number, because the mean of its divisors is an integer number (46298252).
Almost surely, 21334410400 is an apocalyptic number.
1334410400 is a gapful number since it is divisible by the number (10) 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 1334410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666737072).
1334410400 is an abundant number, since it is smaller than the sum of its proper divisors (1999063744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1334410400 is a wasteful number, since it uses less digits than its factorization.
1334410400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38854 (or 38841 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 1334410400 is about 36529.5825325174. The cubic root of 1334410400 is about 1100.9387028471.
Adding to 1334410400 its reverse (40144331), we get a palindrome (1374554731).
The spelling of 1334410400 in words is "one billion, three hundred thirty-four million, four hundred ten thousand, four hundred".
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