Search a number
-
+
238071944 = 231117233683
BaseRepresentation
bin11100011000010…
…11000010001000
3121120222022022102
432030023002020
5441421300234
635342412532
75620402205
oct1614130210
9546868272
10238071944
11112426a80
1267891148
133a427396
1423892cac
1515d79c7e
hexe30b088

238071944 has 64 divisors (see below), whose sum is σ = 518581440. Its totient is φ = 101263360.

The previous prime is 238071943. The next prime is 238071973. The reversal of 238071944 is 449170832.

It is a junction number, because it is equal to n+sod(n) for n = 238071898 and 238071907.

It is not an unprimeable number, because it can be changed into a prime (238071943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348227 + ... + 348909.

It is an arithmetic number, because the mean of its divisors is an integer number (8102835).

Almost surely, 2238071944 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 238071944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259290720).

238071944 is an abundant number, since it is smaller than the sum of its proper divisors (280509496).

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

238071944 is a wasteful number, since it uses less digits than its factorization.

238071944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 238071944 is about 15429.5801627912. The cubic root of 238071944 is about 619.7778808917. Note that the first 3 decimals are identical.

The spelling of 238071944 in words is "two hundred thirty-eight million, seventy-one thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 233 374 466 683 748 932 1366 1496 1864 2563 2732 3961 5126 5464 7513 7922 10252 11611 15026 15844 20504 23222 30052 31688 43571 46444 60104 87142 92888 127721 159139 174284 255442 318278 348568 510884 636556 1021768 1273112 1750529 2705363 3501058 5410726 7002116 10821452 14004232 21642904 29758993 59517986 119035972 238071944