| Base | Representation |
|---|---|
| bin | 1100101010101001… |
| … | …1011001011011000 |
| 3 | 22202221220221102100 |
| 4 | 3022222123023120 |
| 5 | 23430412302000 |
| 6 | 1321220203400 |
| 7 | 150154351245 |
| oct | 31252331330 |
| 9 | 8687827370 |
| 10 | 3400119000 |
| 11 | 1495307803 |
| 12 | 7aa839560 |
| 13 | 422568045 |
| 14 | 2437dc5cc |
| 15 | 14d77ca00 |
| hex | caa9b2d8 |
3400119000 has 384 divisors, whose sum is σ = 12379236480. Its totient is φ = 838656000.
The previous prime is 3400118993. The next prime is 3400119001. The reversal of 3400119000 is 9110043.
3400119000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×34001190003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3400119001) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10862844 + ... + 10863156.
It is an arithmetic number, because the mean of its divisors is an integer number (32237595).
Almost surely, 23400119000 is an apocalyptic number.
3400119000 is a gapful number since it is divisible by the number (30) 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 3400119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189618240).
3400119000 is an abundant number, since it is smaller than the sum of its proper divisors (8979117480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3400119000 is a wasteful number, since it uses less digits than its factorization.
3400119000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 428 (or 411 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 3400119000 is about 58310.5393561061. The cubic root of 3400119000 is about 1503.7121391039.
Adding to 3400119000 its reverse (9110043), we get a palindrome (3409229043).
The spelling of 3400119000 in words is "three billion, four hundred million, one hundred nineteen thousand".
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