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238675968 = 2113223563
BaseRepresentation
bin11100011100111…
…10100000000000
3121122002222212200
432032132200000
5442100112333
635403353200
75625466206
oct1616364000
9548088780
10238675968
111127a9873
1267b22800
133a5a92ab
14239ad076
1515e48c13
hexe39e800

238675968 has 144 divisors (see below), whose sum is σ = 720588960. Its totient is φ = 75964416.

The previous prime is 238675949. The next prime is 238675979. The reversal of 238675968 is 869576832.

It is a happy number.

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

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 11 ways as a sum of consecutive naturals, for example, 423655 + ... + 424217.

It is an arithmetic number, because the mean of its divisors is an integer number (5004090).

Almost surely, 2238675968 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 238675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360294480).

238675968 is an abundant number, since it is smaller than the sum of its proper divisors (481912992).

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

238675968 is a wasteful number, since it uses less digits than its factorization.

238675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 591 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 238675968 is about 15449.1413353623. The cubic root of 238675968 is about 620.3015945095.

The spelling of 238675968 in words is "two hundred thirty-eight million, six hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 563 576 736 768 828 1024 1104 1126 1152 1472 1536 1656 1689 2048 2208 2252 2304 2944 3072 3312 3378 4416 4504 4608 5067 5888 6144 6624 6756 8832 9008 9216 10134 11776 12949 13248 13512 17664 18016 18432 20268 23552 25898 26496 27024 35328 36032 38847 40536 47104 51796 52992 54048 70656 72064 77694 81072 103592 105984 108096 116541 141312 144128 155388 162144 207184 211968 216192 233082 288256 310776 324288 414368 423936 432384 466164 576512 621552 648576 828736 864768 932328 1153024 1243104 1297152 1657472 1729536 1864656 2486208 2594304 3314944 3459072 3729312 4972416 5188608 6629888 7458624 9944832 10377216 13259776 14917248 19889664 26519552 29834496 39779328 59668992 79558656 119337984 238675968