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10434440232 = 2332293494617
BaseRepresentation
bin10011011011111000…
…01110110000101000
3222221012020111002100
421231330032300220
5132332204041412
64443222133400
7516401164356
oct115574166050
928835214070
1010434440232
114474a73427
122032581260
13ca39c9ab8
1470db307d6
154110c5edc
hex26df0ec28

10434440232 has 48 divisors (see below), whose sum is σ = 28356449940. Its totient is φ = 3466268928.

The previous prime is 10434440213. The next prime is 10434440281. The reversal of 10434440232 is 23204443401.

It is a happy number.

10434440232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7820572356 + 2613867876 = 88434^2 + 51126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10434440196 and 10434440205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226213 + ... + 268404.

Almost surely, 210434440232 is an apocalyptic number.

10434440232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10434440232 is an abundant number, since it is smaller than the sum of its proper divisors (17922009708).

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

10434440232 is a wasteful number, since it uses less digits than its factorization.

10434440232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494922 (or 494915 counting only the distinct ones).

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

Adding to 10434440232 its reverse (23204443401), we get a palindrome (33638883633).

The spelling of 10434440232 in words is "ten billion, four hundred thirty-four million, four hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 3516 5274 7032 10548 21096 494617 989234 1483851 1978468 2967702 3956936 4451553 5935404 8903106 11870808 17806212 35612424 144922781 289845562 434768343 579691124 869536686 1159382248 1304305029 1739073372 2608610058 3478146744 5217220116 10434440232