Search a number
-
+
234521088 = 293612503
BaseRepresentation
bin11011111101010…
…00001000000000
3121100021220110020
431332220020000
5440014133323
635134333440
75545252644
oct1576501000
9540256406
10234521088
1111042118a
126665a280
1339783099
142320ac24
15158c7ae3
hexdfa8200

234521088 has 80 divisors (see below), whose sum is σ = 635274816. Its totient is φ = 76861440.

The previous prime is 234521081. The next prime is 234521101. The reversal of 234521088 is 880125432.

It is not an unprimeable number, because it can be changed into a prime (234521081) 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 7 ways as a sum of consecutive naturals, for example, 92445 + ... + 94947.

Almost surely, 2234521088 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 234521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317637408).

234521088 is an abundant number, since it is smaller than the sum of its proper divisors (400753728).

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

234521088 is an equidigital number, since it uses as much as digits as its factorization.

234521088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 234521088 is about 15314.0813632421. The cubic root of 234521088 is about 616.6810929504.

The spelling of 234521088 in words is "two hundred thirty-four million, five hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1464 1536 1952 2503 2928 3904 5006 5856 7509 7808 10012 11712 15018 15616 20024 23424 30036 31232 40048 46848 60072 80096 93696 120144 152683 160192 240288 305366 320384 458049 480576 610732 640768 916098 961152 1221464 1281536 1832196 1922304 2442928 3664392 3844608 4885856 7328784 9771712 14657568 19543424 29315136 39086848 58630272 78173696 117260544 234521088