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23427432 = 23327234347
BaseRepresentation
bin101100101011…
…1100101101000
31122002020101200
41121113211220
521444134212
62154044200
7403062360
oct131274550
948066350
1023427432
1112251416
127a19660
134b134b2
14317b9a0
1520cb6dc
hex1657968

23427432 has 192 divisors, whose sum is σ = 79073280. Its totient is φ = 6120576.

The previous prime is 23427427. The next prime is 23427449. The reversal of 23427432 is 23472432.

It is a super-2 number, since 2×234274322 = 1097689140229248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23427396 and 23427405.

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 47 ways as a sum of consecutive naturals, for example, 498433 + ... + 498479.

It is an arithmetic number, because the mean of its divisors is an integer number (411840).

It is a vampire number, since it can be written as 32437224 (with its own digits).

Almost surely, 223427432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23427432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39536640).

23427432 is an abundant number, since it is smaller than the sum of its proper divisors (55645848).

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

23427432 is a wasteful number, since it uses less digits than its factorization.

23427432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 23427432 is about 4840.1892524983. The cubic root of 23427432 is about 286.1375770520.

Adding to 23427432 its reverse (23472432), we get a palindrome (46899864).

The spelling of 23427432 in words is "twenty-three million, four hundred twenty-seven thousand, four hundred thirty-two".