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34430000000 = 275711313
BaseRepresentation
bin100000000100001100…
…000001101110000000
310021212111010012221012
4200010030001232000
51031003040000000
623452242220052
72326131112514
oct400414015600
9107774105835
1034430000000
1113668923660
12680a654628
133329100086
141948932144
15d679db735
hex804301b80

34430000000 has 256 divisors, whose sum is σ = 93831791040. Its totient is φ = 12480000000.

The previous prime is 34429999979. The next prime is 34430000009. The reversal of 34430000000 is 3443.

It is a self number, because there is not a number n which added to its sum of digits gives 34430000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34430000009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109999844 + ... + 110000156.

Almost surely, 234430000000 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 34430000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46915895520).

34430000000 is an abundant number, since it is smaller than the sum of its proper divisors (59401791040).

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

34430000000 is an frugal number, since it uses more digits than its factorization.

34430000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 34430000000 its reverse (3443), we get a palindrome (34430003443).

34430000000 divided by its reverse (3443) gives a 7-th power (10000000 = 107).

It can be divided in two parts, 34 and 430000000, that added together give a palindrome (430000034).

The spelling of 34430000000 in words is "thirty-four billion, four hundred thirty million", and thus it is an aban number.