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238774140 = 2232511219577
BaseRepresentation
bin11100011101101…
…10011101111100
3121122021222112200
432032312131330
5442111233030
635405431500
75626355343
oct1616663574
9548258480
10238774140
11112866600
1267b6b590
133a611b97
14239d6b5a
1515e67d60
hexe3b677c

238774140 has 216 divisors, whose sum is σ = 839464080. Its totient is φ = 54743040.

The previous prime is 238774111. The next prime is 238774153. The reversal of 238774140 is 41477832.

It is a happy number.

238774140 is a `hidden beast` number, since 238 + 7 + 7 + 414 + 0 = 666.

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 = 238774095 and 238774104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413532 + ... + 414108.

Almost surely, 2238774140 is an apocalyptic number.

238774140 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 238774140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419732040).

238774140 is an abundant number, since it is smaller than the sum of its proper divisors (600689940).

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

238774140 is a wasteful number, since it uses less digits than its factorization.

238774140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 238774140 is about 15452.3182726735. The cubic root of 238774140 is about 620.3866301631.

The spelling of 238774140 in words is "two hundred thirty-eight million, seven hundred seventy-four thousand, one hundred forty".