| Base | Representation |
|---|---|
| bin | 1000010101010… |
| … | …0011111101100 |
| 3 | 2102202121011010 |
| 4 | 2011110133230 |
| 5 | 32421332400 |
| 6 | 3245025220 |
| 7 | 603030264 |
| oct | 205243754 |
| 9 | 72677133 |
| 10 | 34949100 |
| 11 | 1880085a |
| 12 | b855210 |
| 13 | 7318854 |
| 14 | 48da7a4 |
| 15 | 3105450 |
| hex | 21547ec |
34949100 has 72 divisors (see below), whose sum is σ = 102246928. Its totient is φ = 9216000.
The previous prime is 34949099. The next prime is 34949107. The reversal of 34949100 is 194943.
34949100 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 3×349491003 (a number of 24 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a nialpdrome in base 12.
It is not an unprimeable number, because it can be changed into a prime (34949107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28500 + ... + 29700.
Almost surely, 234949100 is an apocalyptic number.
34949100 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 34949100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51123464).
34949100 is an abundant number, since it is smaller than the sum of its proper divisors (67297828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34949100 is a wasteful number, since it uses less digits than its factorization.
34949100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 30.
The square root of 34949100 is about 5911.7763827804. The cubic root of 34949100 is about 326.9479852551.
The spelling of 34949100 in words is "thirty-four million, nine hundred forty-nine thousand, one hundred".
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