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238141840 = 24510129473
BaseRepresentation
bin11100011000111…
…00000110010000
3121121002212012011
432030130012100
5441431014330
635344112304
75621113036
oct1614340620
9547085164
10238141840
11112474542
1267905694
133a450141
14238b0556
1515d9082a
hexe31c190

238141840 has 40 divisors (see below), whose sum is σ = 559180728. Its totient is φ = 94310400.

The previous prime is 238141837. The next prime is 238141847. The reversal of 238141840 is 48141832.

It can be written as a sum of positive squares in 4 ways, for example, as 50013184 + 188128656 = 7072^2 + 13716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (238141847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6657 + ... + 22816.

Almost surely, 2238141840 is an apocalyptic number.

238141840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238141840 is an abundant number, since it is smaller than the sum of its proper divisors (321038888).

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

238141840 is a wasteful number, since it uses less digits than its factorization.

238141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29587 (or 29581 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 238141840 is about 15431.8449966295. The cubic root of 238141840 is about 619.8385288836.

The spelling of 238141840 in words is "two hundred thirty-eight million, one hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 29473 58946 117892 147365 235784 294730 471568 589460 1178920 2357840 2976773 5953546 11907092 14883865 23814184 29767730 47628368 59535460 119070920 238141840