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238450744350 = 234527132157317
BaseRepresentation
bin1101111000010011000…
…1011001110000011110
3211210111001010212210000
43132010301121300132
512401321342304400
6301313122555130
723141013612330
oct3360461316036
9753431125700
10238450744350
1192143257575
123a268808aa6
1319641424b00
14b780a07450
156308e32600
hex3784c59c1e

238450744350 has 720 divisors, whose sum is σ = 827739351648. Its totient is φ = 49832340480.

The previous prime is 238450744339. The next prime is 238450744379. The reversal of 238450744350 is 53447054832.

238450744350 is a `hidden beast` number, since 23 + 84 + 50 + 74 + 435 + 0 = 666.

238450744350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 238450744296 and 238450744305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 752210392 + ... + 752210708.

Almost surely, 2238450744350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238450744350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413869675824).

238450744350 is an abundant number, since it is smaller than the sum of its proper divisors (589288607298).

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

238450744350 is a wasteful number, since it uses less digits than its factorization.

238450744350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 238450744350 in words is "two hundred thirty-eight billion, four hundred fifty million, seven hundred forty-four thousand, three hundred fifty".