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3050102400 = 273523137277
BaseRepresentation
bin1011010111001100…
…1101111010000000
321212120022020220120
42311303031322000
522221311234100
61222354140240
7135404304552
oct26563157200
97776266816
103050102400
111325781094
12711581680
13397ba7427
1420d1294d2
1512cb8e0a0
hexb5ccde80

3050102400 has 384 divisors, whose sum is σ = 10689077760. Its totient is φ = 763084800.

The previous prime is 3050102351. The next prime is 3050102411. The reversal of 3050102400 is 42010503.

3050102400 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 (384).

It is a super-3 number, since 3×30501024003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3050102400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11011062 + ... + 11011338.

It is an arithmetic number, because the mean of its divisors is an integer number (27836140).

Almost surely, 23050102400 is an apocalyptic number.

3050102400 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 3050102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344538880).

3050102400 is an abundant number, since it is smaller than the sum of its proper divisors (7638975360).

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

3050102400 is a wasteful number, since it uses less digits than its factorization.

3050102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3050102400 is about 55227.7321641945. The cubic root of 3050102400 is about 1450.2341912658.

Adding to 3050102400 its reverse (42010503), we get a palindrome (3092112903).

The spelling of 3050102400 in words is "three billion, fifty million, one hundred two thousand, four hundred".