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235624240 = 2452945303
BaseRepresentation
bin11100000101101…
…01011100110000
3121102100221200201
432002311130300
5440304433430
635214124544
75560526065
oct1602653460
9542327621
10235624240
11111004a85
1266ab0754
1339a7b237
1423416c6c
1515a448ca
hexe0b5730

235624240 has 20 divisors (see below), whose sum is σ = 547826544. Its totient is φ = 94249664.

The previous prime is 235624237. The next prime is 235624241. The reversal of 235624240 is 42426532.

235624240 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 235624199 and 235624208.

It is not an unprimeable number, because it can be changed into a prime (235624241) 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 3 ways as a sum of consecutive naturals, for example, 1472572 + ... + 1472731.

Almost surely, 2235624240 is an apocalyptic number.

235624240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235624240 is an abundant number, since it is smaller than the sum of its proper divisors (312202304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

235624240 is a wasteful number, since it uses less digits than its factorization.

235624240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945316 (or 2945310 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 235624240 is about 15350.0566774198. The cubic root of 235624240 is about 617.6465059121.

The spelling of 235624240 in words is "two hundred thirty-five million, six hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2945303 5890606 11781212 14726515 23562424 29453030 47124848 58906060 117812120 235624240