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238968 = 23323319
BaseRepresentation
bin111010010101111000
3110010210200
4322111320
530121333
65042200
72013462
oct722570
9403720
10238968
111535a4
12b6360
1384a02
1463132
154ac13
hex3a578

238968 has 24 divisors (see below), whose sum is σ = 647400. Its totient is φ = 79632.

The previous prime is 238967. The next prime is 238991. The reversal of 238968 is 869832.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1588 + ... + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (26975).

238968 is a Friedman number, since it can be written as 39828*6, using all its digits and the basic arithmetic operations.

2238968 is an apocalyptic number.

It is an amenable number.

238968 is an abundant number, since it is smaller than the sum of its proper divisors (408432).

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

238968 is a wasteful number, since it uses less digits than its factorization.

238968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3324 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 238968 is about 488.8435332496. The cubic root of 238968 is about 62.0554481420.

The spelling of 238968 in words is "two hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3319 6638 9957 13276 19914 26552 29871 39828 59742 79656 119484 238968