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3050438400 = 283352127139
BaseRepresentation
bin1011010111010001…
…1111111100000000
321212120221022211000
42311310133330000
522221403012100
61222405252000
7135410204262
oct26564377400
97776838730
103050438400
111325990579
12711704000
13397c94349
1420d1b5b32
1512cc08900
hexb5d1ff00

3050438400 has 432 divisors, whose sum is σ = 11354828800. Its totient is φ = 801239040.

The previous prime is 3050438393. The next prime is 3050438441. The reversal of 3050438400 is 48340503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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 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, 21945531 + ... + 21945669.

Almost surely, 23050438400 is an apocalyptic number.

3050438400 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 3050438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677414400).

3050438400 is an abundant number, since it is smaller than the sum of its proper divisors (8304390400).

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

3050438400 is a wasteful number, since it uses less digits than its factorization.

3050438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3050438400 is about 55230.7740304262. The cubic root of 3050438400 is about 1450.2874420240.

Adding to 3050438400 its reverse (48340503), we get a palindrome (3098778903).

The spelling of 3050438400 in words is "three billion, fifty million, four hundred thirty-eight thousand, four hundred".