Search a number
-
+
238341700 = 2252171947157
BaseRepresentation
bin11100011010011…
…00111001000100
3121121111000100101
432031030321010
5442003413300
635352253444
75622604522
oct1615147104
9547430311
10238341700
111125a0713
12679a1284
133a4c00bc
1423923312
1515dceb6a
hexe34ce44

238341700 has 144 divisors (see below), whose sum is σ = 592462080. Its totient is φ = 82667520.

The previous prime is 238341667. The next prime is 238341743. The reversal of 238341700 is 7143832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518022 + ... + 1518178.

It is an arithmetic number, because the mean of its divisors is an integer number (4114320).

Almost surely, 2238341700 is an apocalyptic number.

238341700 is a gapful number since it is divisible by the number (20) 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 238341700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296231040).

238341700 is an abundant number, since it is smaller than the sum of its proper divisors (354120380).

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

238341700 is a wasteful number, since it uses less digits than its factorization.

238341700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 238341700 is about 15438.3192090331. The cubic root of 238341700 is about 620.0118797585.

The spelling of 238341700 in words is "two hundred thirty-eight million, three hundred forty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 47 50 68 76 85 94 95 100 157 170 188 190 235 314 323 340 380 425 470 475 628 646 785 799 850 893 940 950 1175 1292 1570 1598 1615 1700 1786 1900 2350 2669 2983 3140 3196 3230 3572 3925 3995 4465 4700 5338 5966 6460 7379 7850 7990 8075 8930 10676 11932 13345 14758 14915 15181 15700 15980 16150 17860 19975 22325 26690 29516 29830 30362 32300 36895 39950 44650 50711 53380 59660 60724 66725 73790 74575 75905 79900 89300 101422 125443 133450 140201 147580 149150 151810 184475 202844 250886 253555 266900 280402 298300 303620 368950 379525 501772 507110 560804 627215 701005 737900 759050 1014220 1254430 1267775 1402010 1518100 2383417 2508860 2535550 2804020 3136075 3505025 4766834 5071100 6272150 7010050 9533668 11917085 12544300 14020100 23834170 47668340 59585425 119170850 238341700