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238938984 = 2335196469
BaseRepresentation
bin11100011110111…
…10101101101000
3121122121100200000
432033132231220
5442132021414
635413143000
75630643054
oct1617365550
9548540600
10238938984
11112969439
126802aa60
133a66bc1b
1423a3ac64
1515e9bb09
hexe3deb68

238938984 has 96 divisors (see below), whose sum is σ = 706524000. Its totient is φ = 75442752.

The previous prime is 238938977. The next prime is 238939031. The reversal of 238938984 is 489839832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 238938984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33702 + ... + 40170.

It is an arithmetic number, because the mean of its divisors is an integer number (7359625).

Almost surely, 2238938984 is an apocalyptic number.

238938984 is a gapful number since it is divisible by the number (24) 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 238938984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353262000).

238938984 is an abundant number, since it is smaller than the sum of its proper divisors (467585016).

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

238938984 is a wasteful number, since it uses less digits than its factorization.

238938984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6493 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 238938984 is about 15457.6513093031. The cubic root of 238938984 is about 620.5293640572.

The spelling of 238938984 in words is "two hundred thirty-eight million, nine hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 4104 4617 6156 6469 9234 12312 12938 18468 19407 25876 36936 38814 51752 58221 77628 116442 122911 155256 174663 232884 245822 349326 368733 465768 491644 523989 698652 737466 983288 1047978 1106199 1397304 1474932 1571967 2095956 2212398 2949864 3143934 3318597 4191912 4424796 6287868 6637194 8849592 9955791 12575736 13274388 19911582 26548776 29867373 39823164 59734746 79646328 119469492 238938984