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235345440 = 25351129253
BaseRepresentation
bin11100000011100…
…01011000100000
3121101211210020210
432001301120200
5440222023230
635204134120
75555255211
oct1601613040
9541753223
10235345440
11110934570
1266997340
13399b1375
1423383408
15159dbeb0
hexe071620

235345440 has 288 divisors, whose sum is σ = 853384896. Its totient is φ = 54046720.

The previous prime is 235345379. The next prime is 235345447. The reversal of 235345440 is 44543532.

235345440 = 502 + 512 + ... + 8902.

It is a super-2 number, since 2×2353454402 = 110774952257587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 235345398 and 235345407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235345447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4440454 + ... + 4440506.

It is an arithmetic number, because the mean of its divisors is an integer number (2963142).

Almost surely, 2235345440 is an apocalyptic number.

235345440 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 235345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426692448).

235345440 is an abundant number, since it is smaller than the sum of its proper divisors (618039456).

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

235345440 is a wasteful number, since it uses less digits than its factorization.

235345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 235345440 is about 15340.9725897676. The cubic root of 235345440 is about 617.4028017719.

Adding to 235345440 its reverse (44543532), we get a palindrome (279888972).

The spelling of 235345440 in words is "two hundred thirty-five million, three hundred forty-five thousand, four hundred forty".