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4312424232 = 233333160317
BaseRepresentation
bin1000000010000101…
…00101111100101000
3102010112120211221000
410001002211330220
532312440033412
61551530115000
7211603000254
oct40102457450
912115524830
104312424232
111913284176
12a0427ba60
1353957c61c
142cca3d264
151a38da4dc
hex1010a5f28

4312424232 has 64 divisors (see below), whose sum is σ = 12015345600. Its totient is φ = 1433108160.

The previous prime is 4312424227. The next prime is 4312424267. The reversal of 4312424232 is 2324242134.

4312424232 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 424 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 4312424196 and 4312424205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41338 + ... + 101654.

It is an arithmetic number, because the mean of its divisors is an integer number (187739775).

Almost surely, 24312424232 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 4312424232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007672800).

4312424232 is an abundant number, since it is smaller than the sum of its proper divisors (7702921368).

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

4312424232 is a wasteful number, since it uses less digits than its factorization.

4312424232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60663 (or 60653 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 4312424232 is about 65669.0507925918. The cubic root of 4312424232 is about 1627.6979852157.

Adding to 4312424232 its reverse (2324242134), we get a palindrome (6636666366).

The spelling of 4312424232 in words is "four billion, three hundred twelve million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 993 1324 1986 2648 2979 3972 5958 7944 8937 11916 17874 23832 35748 60317 71496 120634 180951 241268 361902 482536 542853 723804 1085706 1447608 1628559 2171412 3257118 4342824 6514236 13028472 19964927 39929854 59894781 79859708 119789562 159719416 179684343 239579124 359368686 479158248 539053029 718737372 1078106058 1437474744 2156212116 4312424232