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232430040 = 233351947241
BaseRepresentation
bin11011101101010…
…01100111011000
3121012100200002000
431312221213120
5434000230130
635021441000
75521423413
oct1566514730
9535320060
10232430040
1110a223147
1265a10160
133920038b
1422c24b7a
1515613260
hexdda99d8

232430040 has 256 divisors, whose sum is σ = 836352000. Its totient is φ = 57231360.

The previous prime is 232429999. The next prime is 232430047. The reversal of 232430040 is 40034232.

232430040 is a `hidden beast` number, since 2 + 324 + 300 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 232429995 and 232430022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232430047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964320 + ... + 964560.

It is an arithmetic number, because the mean of its divisors is an integer number (3267000).

Almost surely, 2232430040 is an apocalyptic number.

232430040 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 232430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418176000).

232430040 is an abundant number, since it is smaller than the sum of its proper divisors (603921960).

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

232430040 is a wasteful number, since it uses less digits than its factorization.

232430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

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

The square root of 232430040 is about 15245.6564306034. The cubic root of 232430040 is about 614.8427914650.

Adding to 232430040 its reverse (40034232), we get a palindrome (272464272).

The spelling of 232430040 in words is "two hundred thirty-two million, four hundred thirty thousand, forty".