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238050384 = 243111379439
BaseRepresentation
bin11100011000001…
…01110001010000
3121120221012201220
432030011301100
5441420103014
635342125040
75620252305
oct1614056120
9546835656
10238050384
11112411860
1267880780
133a41a620
14238890ac
1515d736a9
hexe305c50

238050384 has 160 divisors (see below), whose sum is σ = 733286400. Its totient is φ = 65594880.

The previous prime is 238050359. The next prime is 238050389. The reversal of 238050384 is 483050832.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238050389) 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 31 ways as a sum of consecutive naturals, for example, 542037 + ... + 542475.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2238050384 is an apocalyptic number.

238050384 is a gapful number since it is divisible by the number (24) 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 238050384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366643200).

238050384 is an abundant number, since it is smaller than the sum of its proper divisors (495236016).

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

238050384 is a wasteful number, since it uses less digits than its factorization.

238050384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 238050384 is about 15428.8814889479. The cubic root of 238050384 is about 619.7591711209.

The spelling of 238050384 in words is "two hundred thirty-eight million, fifty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 79 88 104 132 143 156 158 176 208 237 264 286 312 316 429 439 474 528 572 624 632 858 869 878 948 1027 1144 1264 1317 1716 1738 1756 1896 2054 2288 2607 2634 3081 3432 3476 3512 3792 4108 4829 5214 5268 5707 6162 6864 6952 7024 8216 9658 10428 10536 11297 11414 12324 13904 14487 16432 17121 19316 20856 21072 22594 22828 24648 28974 33891 34242 34681 38632 41712 45188 45656 49296 57948 62777 67782 68484 69362 77264 90376 91312 104043 115896 125554 135564 136968 138724 180752 188331 208086 231792 251108 271128 273936 277448 376662 381491 416172 450853 502216 542256 554896 753324 762982 832344 901706 1004432 1144473 1352559 1506648 1525964 1664688 1803412 2288946 2705118 3013296 3051928 3606824 4577892 4959383 5410236 6103856 7213648 9155784 9918766 10820472 14878149 18311568 19837532 21640944 29756298 39675064 59512596 79350128 119025192 238050384