| Base | Representation |
|---|---|
| bin | 1100101010101000… |
| … | …0111111111010000 |
| 3 | 22202221202221121020 |
| 4 | 3022222013333100 |
| 5 | 23430402243100 |
| 6 | 1321214355440 |
| 7 | 150153603141 |
| oct | 31252077720 |
| 9 | 8687687536 |
| 10 | 3400040400 |
| 11 | 1495263749 |
| 12 | 7aa7bbb80 |
| 13 | 42253b333 |
| 14 | 2437bbac8 |
| 15 | 14d7645a0 |
| hex | caa87fd0 |
3400040400 has 120 divisors (see below), whose sum is σ = 10910655840. Its totient is φ = 905080320.
The previous prime is 3400040393. The next prime is 3400040419. The reversal of 3400040400 is 40400043.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 3400040400.
It is a congruent number.
It is an unprimeable number.
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, 781431 + ... + 785769.
It is an arithmetic number, because the mean of its divisors is an integer number (90922132).
Almost surely, 23400040400 is an apocalyptic number.
3400040400 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 3400040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455327920).
3400040400 is an abundant number, since it is smaller than the sum of its proper divisors (7510615440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3400040400 is a wasteful number, since it uses less digits than its factorization.
3400040400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5013 (or 5002 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 15.
The square root of 3400040400 is about 58309.8653745659. The cubic root of 3400040400 is about 1503.7005519914.
Adding to 3400040400 its reverse (40400043), we get a palindrome (3440440443).
The spelling of 3400040400 in words is "three billion, four hundred million, forty thousand, four hundred".
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