| Base | Representation |
|---|---|
| bin | 110111100110… |
| … | …0100010100000 |
| 3 | 2000211221101100 |
| 4 | 1233030202200 |
| 5 | 24430234334 |
| 6 | 2520434400 |
| 7 | 502523340 |
| oct | 157144240 |
| 9 | 60757340 |
| 10 | 29149344 |
| 11 | 154aa374 |
| 12 | 9918a00 |
| 13 | 6067a43 |
| 14 | 3c2ad20 |
| 15 | 285bc99 |
| hex | 1bcc8a0 |
29149344 has 144 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 7879680.
The previous prime is 29149333. The next prime is 29149381. The reversal of 29149344 is 44394192.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 29149299 and 29149308.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37924 + ... + 38684.
It is an arithmetic number, because the mean of its divisors is an integer number (693420).
Almost surely, 229149344 is an apocalyptic number.
29149344 is a gapful number since it is divisible by the number (24) 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 29149344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).
29149344 is an abundant number, since it is smaller than the sum of its proper divisors (70703136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29149344 is a wasteful number, since it uses less digits than its factorization.
29149344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 803 (or 792 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 29149344 is about 5399.0132431769. The cubic root of 29149344 is about 307.7581730279.
The spelling of 29149344 in words is "twenty-nine million, one hundred forty-nine thousand, three hundred forty-four".
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