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23408412300 = 223252731319307
BaseRepresentation
bin10101110011010000…
…000000011010001100
32020102101001112221100
4111303100000122030
5340420023143200
614430443303100
71456040136000
oct256320003214
966371045840
1023408412300
119a22490699
12465351aa90
132290887750
1411c0c42700
159200d5d00
hex57340068c

23408412300 has 864 divisors, whose sum is σ = 97313216000. Its totient is φ = 4663733760.

The previous prime is 23408412271. The next prime is 23408412323. The reversal of 23408412300 is 321480432.

23408412300 is a `hidden beast` number, since 2 + 340 + 8 + 4 + 12 + 300 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 76248747 + ... + 76249053.

Almost surely, 223408412300 is an apocalyptic number.

23408412300 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 23408412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48656608000).

23408412300 is an abundant number, since it is smaller than the sum of its proper divisors (73904803700).

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

23408412300 is a wasteful number, since it uses less digits than its factorization.

23408412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 23408412300 its reverse (321480432), we get a palindrome (23729892732).

The spelling of 23408412300 in words is "twenty-three billion, four hundred eight million, four hundred twelve thousand, three hundred".