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3023134034400 = 253552195315443
BaseRepresentation
bin101011111111100000110…
…101001000100111100000
3101201000020102000222200000
4223333200311020213200
5344012334303100100
610232450354100000
7431262036206364
oct53774065104740
911630212028600
103023134034400
11a66116393177
12409aa157a600
1318c1075bac5c
14a646b5152a4
155398a6cc900
hex2bfe0d489e0

3023134034400 has 864 divisors, whose sum is σ = 11857337331840. Its totient is φ = 749280430080.

The previous prime is 3023134034383. The next prime is 3023134034411. The reversal of 3023134034400 is 44304313203.

3023134034400 is a `hidden beast` number, since 3 + 0 + 2 + 313 + 4 + 0 + 344 + 0 + 0 = 666.

3023134034400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195753079 + ... + 195768521.

It is an arithmetic number, because the mean of its divisors is an integer number (13723770060).

Almost surely, 23023134034400 is an apocalyptic number.

3023134034400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023134034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928668665920).

3023134034400 is an abundant number, since it is smaller than the sum of its proper divisors (8834203297440).

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

3023134034400 is a wasteful number, since it uses less digits than its factorization.

3023134034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15550 (or 15525 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3023134034400 its reverse (44304313203), we get a palindrome (3067438347603).

The spelling of 3023134034400 in words is "three trillion, twenty-three billion, one hundred thirty-four million, thirty-four thousand, four hundred".