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238694688 = 2534175417
BaseRepresentation
bin11100011101000…
…11000100100000
3121122010221120000
432032203010200
5442101212223
635404020000
75625604611
oct1616430440
9548127500
10238694688
11112811941
1267b31600
133a5b497b
14239b5c08
1515e4e543
hexe3a3120

238694688 has 120 divisors (see below), whose sum is σ = 743425452. Its totient is φ = 74870784.

The previous prime is 238694681. The next prime is 238694719. The reversal of 238694688 is 886496832.

238694688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 236298384 + 2396304 = 15372^2 + 1548^2 .

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 not an unprimeable number, because it can be changed into a prime (238694681) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 41356 + ... + 46772.

Almost surely, 2238694688 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 238694688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371712726).

238694688 is an abundant number, since it is smaller than the sum of its proper divisors (504730764).

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

238694688 is a wasteful number, since it uses less digits than its factorization.

238694688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5439 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 238694688 is about 15449.7471823975. The cubic root of 238694688 is about 620.3178113946.

The spelling of 238694688 in words is "two hundred thirty-eight million, six hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5417 5508 7344 10834 11016 14688 16251 21668 22032 32502 43336 44064 48753 65004 86672 92089 97506 130008 146259 173344 184178 195012 260016 276267 292518 368356 390024 438777 520032 552534 585036 736712 780048 828801 877554 1105068 1170072 1473424 1560096 1657602 1755108 2210136 2340144 2486403 2946848 3315204 3510216 4420272 4680288 4972806 6630408 7020432 7459209 8840544 9945612 13260816 14040864 14918418 19891224 26521632 29836836 39782448 59673672 79564896 119347344 238694688