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238483440 = 243451319149
BaseRepresentation
bin11100011011011…
…11011111110000
3121121202012210000
432031233133300
5442022432230
635355310000
75624034666
oct1615573760
9547665700
10238483440
11112688158
1267a4b300
133a53c780
142395cc36
1515e0bb60
hexe36f7f0

238483440 has 400 divisors, whose sum is σ = 945252000. Its totient is φ = 55240704.

The previous prime is 238483439. The next prime is 238483447. The reversal of 238483440 is 44384832.

238483440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 238483395 and 238483404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238483447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600486 + ... + 1600634.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2238483440 is an apocalyptic number.

238483440 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 238483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472626000).

238483440 is an abundant number, since it is smaller than the sum of its proper divisors (706768560).

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

238483440 is a wasteful number, since it uses less digits than its factorization.

238483440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 238483440 is about 15442.9090523774. The cubic root of 238483440 is about 620.1347608559.

The spelling of 238483440 in words is "two hundred thirty-eight million, four hundred eighty-three thousand, four hundred forty".