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5343481440 = 2533511234889
BaseRepresentation
bin1001111100111111…
…10000111001100000
3111210101200222112000
410332133300321200
541420412401230
62242121204000
7246262562043
oct47637607140
914711628460
105343481440
1122a228a770
121051630600
13672071a4b
14389952c5a
152141a3b60
hex13e7f0e60

5343481440 has 384 divisors, whose sum is σ = 21293798400. Its totient is φ = 1238814720.

The previous prime is 5343481433. The next prime is 5343481469. The reversal of 5343481440 is 441843435.

5343481440 is a `hidden beast` number, since 534 + 3 + 4 + 81 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5343481395 and 5343481404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090516 + ... + 1095404.

It is an arithmetic number, because the mean of its divisors is an integer number (55452600).

Almost surely, 25343481440 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 5343481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646899200).

5343481440 is an abundant number, since it is smaller than the sum of its proper divisors (15950316960).

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

5343481440 is a wasteful number, since it uses less digits than its factorization.

5343481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5343481440 is about 73099.1206513457. The cubic root of 5343481440 is about 1748.2683758313.

The spelling of 5343481440 in words is "five billion, three hundred forty-three million, four hundred eighty-one thousand, four hundred forty".