Search a number
-
+
238989312 = 212332161
BaseRepresentation
bin11100011111010…
…11000000000000
3121122200220201000
432033223000000
5442140124222
635414212000
75631242562
oct1617530000
9548626630
10238989312
111129a3231
1268054000
133a688ac3
1423a51332
1515eab9ac
hexe3eb000

238989312 has 104 divisors (see below), whose sum is σ = 708357680. Its totient is φ = 79626240.

The previous prime is 238989307. The next prime is 238989329. The reversal of 238989312 is 213989832.

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

It is an unprimeable number.

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, 109512 + ... + 111672.

Almost surely, 2238989312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354178840).

238989312 is an abundant number, since it is smaller than the sum of its proper divisors (469368368).

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

238989312 is an equidigital number, since it uses as much as digits as its factorization.

238989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2166 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 238989312 is about 15459.2791552517. The cubic root of 238989312 is about 620.5729286092.

The spelling of 238989312 in words is "two hundred thirty-eight million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2161 2304 3072 3456 4096 4322 4608 6144 6483 6912 8644 9216 12288 12966 13824 17288 18432 19449 25932 27648 34576 36864 38898 51864 55296 58347 69152 77796 103728 110592 116694 138304 155592 207456 233388 276608 311184 414912 466776 553216 622368 829824 933552 1106432 1244736 1659648 1867104 2212864 2489472 3319296 3734208 4425728 4978944 6638592 7468416 8851456 9957888 13277184 14936832 19915776 26554368 29873664 39831552 59747328 79663104 119494656 238989312