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23434114032 = 24327176720411
BaseRepresentation
bin10101110100110010…
…000011001111110000
32020111011102100002100
4111310302003033300
5340443113122112
614433202220400
71456501453110
oct256462031760
966434370070
1023434114032
119a35a4579a
124660054700
132295cb6184
1411c4413040
159224b12dc
hex574c833f0

23434114032 has 240 divisors, whose sum is σ = 80549344512. Its totient is φ = 6207252480.

The previous prime is 23434114019. The next prime is 23434114057. The reversal of 23434114032 is 23041143432.

It is a junction number, because it is equal to n+sod(n) for n = 23434113987 and 23434114005.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1137907 + ... + 1158317.

Almost surely, 223434114032 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 23434114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40274672256).

23434114032 is an abundant number, since it is smaller than the sum of its proper divisors (57115230480).

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

23434114032 is a wasteful number, since it uses less digits than its factorization.

23434114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20516 (or 20507 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23434114032 its reverse (23041143432), we get a palindrome (46475257464).

The spelling of 23434114032 in words is "twenty-three billion, four hundred thirty-four million, one hundred fourteen thousand, thirty-two".