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234506240 = 211522901
BaseRepresentation
bin11011111101001…
…00100000000000
3121100021011002022
431332210200000
5440013144430
635134141012
75545161443
oct1576444000
9540234068
10234506240
11110411011
1266651768
13397793b7
142320565a
15158c34e5
hexdfa4800

234506240 has 48 divisors (see below), whose sum is σ = 562702140. Its totient is φ = 93798400.

The previous prime is 234506221. The next prime is 234506249. The reversal of 234506240 is 42605432.

It can be written as a sum of positive squares in 2 ways, for example, as 219513856 + 14992384 = 14816^2 + 3872^2 .

It is not an unprimeable number, because it can be changed into a prime (234506249) 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 3 ways as a sum of consecutive naturals, for example, 1211 + ... + 21690.

Almost surely, 2234506240 is an apocalyptic number.

234506240 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 234506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281351070).

234506240 is an abundant number, since it is smaller than the sum of its proper divisors (328195900).

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

234506240 is an equidigital number, since it uses as much as digits as its factorization.

234506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22928 (or 22908 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 234506240 is about 15313.5965729805. The cubic root of 234506240 is about 616.6680782372.

The spelling of 234506240 in words is "two hundred thirty-four million, five hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 22901 45802 91604 114505 183208 229010 366416 458020 732832 916040 1465664 1832080 2931328 3664160 5862656 7328320 11725312 14656640 23450624 29313280 46901248 58626560 117253120 234506240