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238106040 = 23353164007
BaseRepresentation
bin11100011000100…
…11010110111000
3121121001001002020
432030103112320
5441423343130
635343234440
75620603464
oct1614232670
9547031066
10238106040
1111244a657
12678a8a20
133a439a63
14238a14a4
1515d84e10
hexe3135b8

238106040 has 64 divisors (see below), whose sum is σ = 737372160. Its totient is φ = 61445760.

The previous prime is 238106017. The next prime is 238106041. The reversal of 238106040 is 40601832.

It is a happy number.

238106040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 238106040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238106041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28284 + ... + 35723.

It is an arithmetic number, because the mean of its divisors is an integer number (11521440).

Almost surely, 2238106040 is an apocalyptic number.

238106040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238106040 is an abundant number, since it is smaller than the sum of its proper divisors (499266120).

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

238106040 is a wasteful number, since it uses less digits than its factorization.

238106040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64052 (or 64048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 238106040 is about 15430.6850139584. The cubic root of 238106040 is about 619.8074670993.

Adding to 238106040 its reverse (40601832), we get a palindrome (278707872).

The spelling of 238106040 in words is "two hundred thirty-eight million, one hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 64007 128014 192021 256028 320035 384042 512056 640070 768084 960105 1280140 1536168 1920210 1984217 2560280 3840420 3968434 5952651 7680840 7936868 9921085 11905302 15873736 19842170 23810604 29763255 39684340 47621208 59526510 79368680 119053020 238106040