Search a number
-
+
238140288 = 2732372151
BaseRepresentation
bin11100011000110…
…11101110000000
3121121002210001200
432030123232000
5441430442123
635344101200
75621105361
oct1614335600
9547083050
10238140288
11112473361
1267904800
133a44c519
14238adb68
1515d90143
hexe31bb80

238140288 has 144 divisors (see below), whose sum is σ = 708959160. Its totient is φ = 76723200.

The previous prime is 238140283. The next prime is 238140299. The reversal of 238140288 is 882041832.

It is a happy number.

238140288 is a `hidden beast` number, since 238 + 140 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238140283) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1577013 + ... + 1577163.

Almost surely, 2238140288 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 238140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354479580).

238140288 is an abundant number, since it is smaller than the sum of its proper divisors (470818872).

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

238140288 is a wasteful number, since it uses less digits than its factorization.

238140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 238140288 is about 15431.7947109207. The cubic root of 238140288 is about 619.8371823591.

The spelling of 238140288 in words is "two hundred thirty-eight million, one hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 151 192 222 288 296 302 333 384 444 453 576 592 604 666 888 906 1152 1184 1208 1332 1359 1369 1776 1812 2368 2416 2664 2718 2738 3552 3624 4107 4736 4832 5328 5436 5476 5587 7104 7248 8214 9664 10656 10872 10952 11174 12321 14208 14496 16428 16761 19328 21312 21744 21904 22348 24642 28992 32856 33522 42624 43488 43808 44696 49284 50283 57984 65712 67044 86976 87616 89392 98568 100566 131424 134088 173952 175232 178784 197136 201132 206719 262848 268176 357568 394272 402264 413438 525696 536352 620157 715136 788544 804528 826876 1072704 1240314 1577088 1609056 1653752 1860471 2145408 2480628 3218112 3307504 3720942 4961256 6436224 6615008 7441884 9922512 13230016 14883768 19845024 26460032 29767536 39690048 59535072 79380096 119070144 238140288