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230645040 = 2435961021
BaseRepresentation
bin11011011111101…
…01110100110000
3121001222222111220
431233311310300
5433021120130
634515305040
75500310343
oct1557656460
9531888456
10230645040
1110921403a
12652ab180
1338a26a72
14228bc45a
15153ae410
hexdbf5d30

230645040 has 40 divisors (see below), whose sum is σ = 715000368. Its totient is φ = 61505280.

The previous prime is 230645017. The next prime is 230645057. The reversal of 230645040 is 40546032.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230645040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480271 + ... + 480750.

Almost surely, 2230645040 is an apocalyptic number.

230645040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230645040 is an abundant number, since it is smaller than the sum of its proper divisors (484355328).

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

230645040 is a wasteful number, since it uses less digits than its factorization.

230645040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961037 (or 961031 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 230645040 is about 15187.0023375253. The cubic root of 230645040 is about 613.2648027820.

The spelling of 230645040 in words is "two hundred thirty million, six hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 961021 1922042 2883063 3844084 4805105 5766126 7688168 9610210 11532252 14415315 15376336 19220420 23064504 28830630 38440840 46129008 57661260 76881680 115322520 230645040