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5341731840 = 210335172273
BaseRepresentation
bin1001111100110010…
…00101110000000000
3111210021102002112000
410332121011300000
541414440404330
62242015504000
7246241654134
oct47631056000
914707362460
105341731840
1122a12a5215
121050b28000
136718ab593
143896193c4
15213e5a560
hex13e645c00

5341731840 has 352 divisors, whose sum is σ = 20109072960. Its totient is φ = 1340080128.

The previous prime is 5341731809. The next prime is 5341731841. The reversal of 5341731840 is 481371435.

It is a happy number.

5341731840 is a `hidden beast` number, since 534 + 1 + 73 + 18 + 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 = 5341731795 and 5341731804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341731841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2348944 + ... + 2351216.

Almost surely, 25341731840 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 5341731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054536480).

5341731840 is an abundant number, since it is smaller than the sum of its proper divisors (14767341120).

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

5341731840 is a wasteful number, since it uses less digits than its factorization.

5341731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5341731840 is about 73087.1523593579. The cubic root of 5341731840 is about 1748.0775449229.

The spelling of 5341731840 in words is "five billion, three hundred forty-one million, seven hundred thirty-one thousand, eight hundred forty".