Base | Representation |
---|---|
bin | 1000001011010… |
… | …1110100001000 |
3 | 2101112120120200 |
4 | 2002311310020 |
5 | 32240033034 |
6 | 3223052200 |
7 | 564352335 |
oct | 202656410 |
9 | 71476520 |
10 | 34299144 |
11 | 183a7500 |
12 | b5a1060 |
13 | 714ba69 |
14 | 47ab98c |
15 | 3027a99 |
hex | 20b5d08 |
34299144 has 144 divisors (see below), whose sum is σ = 106229760. Its totient is φ = 9979200.
The previous prime is 34299137. The next prime is 34299151. The reversal of 34299144 is 44199243.
It is an interprime number because it is at equal distance from previous prime (34299137) and next prime (34299151).
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.
Its product of digits (31104) is a multiple of the sum of its prime factors (192).
It is a junction number, because it is equal to n+sod(n) for n = 34299099 and 34299108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270009 + ... + 270135.
Almost surely, 234299144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34299144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53114880).
34299144 is an abundant number, since it is smaller than the sum of its proper divisors (71930616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34299144 is a wasteful number, since it uses less digits than its factorization.
34299144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 192 (or 174 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 34299144 is about 5856.5471055905. The cubic root of 34299144 is about 324.9085154732.
Subtracting 34299144 from its reverse (44199243), we obtain a palindrome (9900099).
It can be divided in two parts, 34299 and 144, that added together give a palindrome (34443).
The spelling of 34299144 in words is "thirty-four million, two hundred ninety-nine thousand, one hundred forty-four".
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