Base | Representation |
---|---|
bin | 11011111100101… |
… | …11101111110000 |
3 | 121100011111102111 |
4 | 31332113233300 |
5 | 440010012000 |
6 | 35133055104 |
7 | 5544553234 |
oct | 1576275760 |
9 | 540144374 |
10 | 234454000 |
11 | 110385840 |
12 | 66627494 |
13 | 3975b6a1 |
14 | 231d05c4 |
15 | 158b2cba |
hex | df97bf0 |
234454000 has 80 divisors (see below), whose sum is σ = 618505056. Its totient is φ = 85248000.
The previous prime is 234453959. The next prime is 234454007. The reversal of 234454000 is 454432.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (234454007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16672 + ... + 27328.
Almost surely, 2234454000 is an apocalyptic number.
234454000 is a gapful number since it is divisible by the number (20) 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 234454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309252528).
234454000 is an abundant number, since it is smaller than the sum of its proper divisors (384051056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234454000 is a wasteful number, since it uses less digits than its factorization.
234454000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10691 (or 10675 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 22.
The square root of 234454000 is about 15311.8908042083. The cubic root of 234454000 is about 616.6222839578.
The spelling of 234454000 in words is "two hundred thirty-four million, four hundred fifty-four thousand".
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