Base | Representation |
---|---|
bin | 1101101110001001000… |
… | …1000111000110100000 |
3 | 211112110000222201201200 |
4 | 3123202101013012200 |
5 | 12330230414322321 |
6 | 300142411201200 |
7 | 23013320042130 |
oct | 3334221070640 |
9 | 745400881650 |
10 | 235724370336 |
11 | 90a74297404 |
12 | 39827746200 |
13 | 192c8635950 |
14 | b5a28aaac0 |
15 | 61e98dcd26 |
hex | 36e24471a0 |
235724370336 has 288 divisors, whose sum is σ = 847337033088. Its totient is φ = 60488570880.
The previous prime is 235724370319. The next prime is 235724370377. The reversal of 235724370336 is 633073427532.
It is a happy number.
235724370336 is a `hidden beast` number, since 2 + 3 + 5 + 7 + 243 + 70 + 336 = 666.
235724370336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×2357243703363 (a number of 35 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 235724370291 and 235724370300.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848151 + ... + 1091241.
It is an arithmetic number, because the mean of its divisors is an integer number (2942142476).
Almost surely, 2235724370336 is an apocalyptic number.
235724370336 is a gapful number since it is divisible by the number (26) 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 235724370336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423668516544).
235724370336 is an abundant number, since it is smaller than the sum of its proper divisors (611612662752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235724370336 is a wasteful number, since it uses less digits than its factorization.
235724370336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 243164 (or 243153 counting only the distinct ones).
The product of its (nonzero) digits is 1905120, while the sum is 45.
Adding to 235724370336 its reverse (633073427532), we get a palindrome (868797797868).
The spelling of 235724370336 in words is "two hundred thirty-five billion, seven hundred twenty-four million, three hundred seventy thousand, three hundred thirty-six".
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