Base | Representation |
---|---|
bin | 11011111100100… |
… | …00110101000000 |
3 | 121100010001120000 |
4 | 31332100311000 |
5 | 440003110124 |
6 | 35132320000 |
7 | 5544404514 |
oct | 1576206500 |
9 | 540101500 |
10 | 234425664 |
11 | 110366520 |
12 | 66613000 |
13 | 3974b815 |
14 | 231c4144 |
15 | 158a96c9 |
hex | df90d40 |
234425664 has 140 divisors (see below), whose sum is σ = 758269248. Its totient is φ = 71020800.
The previous prime is 234425663. The next prime is 234425669. The reversal of 234425664 is 466524432.
234425664 is a `hidden beast` number, since 2 + 344 + 256 + 64 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (234425663) 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 19 ways as a sum of consecutive naturals, for example, 54969 + ... + 59079.
Almost surely, 2234425664 is an apocalyptic number.
234425664 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 234425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379134624).
234425664 is an abundant number, since it is smaller than the sum of its proper divisors (523843584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234425664 is a wasteful number, since it uses less digits than its factorization.
234425664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4146 (or 4127 counting only the distinct ones).
The product of its digits is 138240, while the sum is 36.
The square root of 234425664 is about 15310.9654822941. The cubic root of 234425664 is about 616.5974413973.
The spelling of 234425664 in words is "two hundred thirty-four million, four hundred twenty-five thousand, six hundred sixty-four".
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