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230024340 = 2233571331151
BaseRepresentation
bin11011011010111…
…10010010010100
3121000211110002000
431231132102110
5432341234330
634454115300
75462113620
oct1555362224
9530743060
10230024340
1110892a767
126504bb30
133886a3a0
142279a180
15152da560
hexdb5e494

230024340 has 384 divisors, whose sum is σ = 915210240. Its totient is φ = 46656000.

The previous prime is 230024339. The next prime is 230024359. The reversal of 230024340 is 43420032.

230024340 is a `hidden beast` number, since 2 + 300 + 24 + 340 = 666.

It is a super-2 number, since 2×2300243402 = 105822393984871200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1523265 + ... + 1523415.

It is an arithmetic number, because the mean of its divisors is an integer number (2383360).

Almost surely, 2230024340 is an apocalyptic number.

230024340 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 230024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457605120).

230024340 is an abundant number, since it is smaller than the sum of its proper divisors (685185900).

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

230024340 is a wasteful number, since it uses less digits than its factorization.

230024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230024340 is about 15166.5533329099. The cubic root of 230024340 is about 612.7141797128.

Adding to 230024340 its reverse (43420032), we get a palindrome (273444372).

The spelling of 230024340 in words is "two hundred thirty million, twenty-four thousand, three hundred forty".