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238315780 = 225411631783
BaseRepresentation
bin11100011010001…
…10100100000100
3121121102200210101
432031012210010
5442002101110
635351533444
75622436123
oct1615064404
9547380711
10238315780
1111258319a
126798a284
133a4b1371
1423917aba
1515dc713a
hexe346904

238315780 has 48 divisors (see below), whose sum is σ = 516104064. Its totient is φ = 92378880.

The previous prime is 238315769. The next prime is 238315787. The reversal of 238315780 is 87513832.

It is not an unprimeable number, because it can be changed into a prime (238315787) 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 15 ways as a sum of consecutive naturals, for example, 132769 + ... + 134551.

It is an arithmetic number, because the mean of its divisors is an integer number (10752168).

Almost surely, 2238315780 is an apocalyptic number.

238315780 is a gapful number since it is divisible by the number (20) 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 238315780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258052032).

238315780 is an abundant number, since it is smaller than the sum of its proper divisors (277788284).

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

238315780 is a wasteful number, since it uses less digits than its factorization.

238315780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 238315780 is about 15437.4797165859. The cubic root of 238315780 is about 619.9894032181.

The spelling of 238315780 in words is "two hundred thirty-eight million, three hundred fifteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 163 164 205 326 410 652 815 820 1630 1783 3260 3566 6683 7132 8915 13366 17830 26732 33415 35660 66830 73103 133660 146206 290629 292412 365515 581258 731030 1162516 1453145 1462060 2906290 5812580 11915789 23831578 47663156 59578945 119157890 238315780