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238343840 = 2557343101
BaseRepresentation
bin11100011010011…
…01011010100000
3121121111010021122
432031031122200
5442004000330
635352311412
75622614000
oct1615153240
9547433248
10238343840
111125a2289
12679a2568
133a4c1077
1423924000
1515dd05e5
hexe34d6a0

238343840 has 192 divisors, whose sum is σ = 678585600. Its totient is φ = 79027200.

The previous prime is 238343839. The next prime is 238343843. The reversal of 238343840 is 48343832.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 238343840.

It is not an unprimeable number, because it can be changed into a prime (238343843) 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 31 ways as a sum of consecutive naturals, for example, 2359790 + ... + 2359890.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2238343840 is an apocalyptic number.

238343840 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 238343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339292800).

238343840 is an abundant number, since it is smaller than the sum of its proper divisors (440241760).

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

238343840 is a wasteful number, since it uses less digits than its factorization.

238343840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 238343840 is about 15438.3885169405. The cubic root of 238343840 is about 620.0137353877.

The spelling of 238343840 in words is "two hundred thirty-eight million, three hundred forty-three thousand, eight hundred forty".