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5345464320 = 21233571381
BaseRepresentation
bin1001111101001110…
…10101000000000000
3111210112102201112000
410332213111000000
541421414324240
62242231504000
7246315461040
oct47647250000
914715381460
105345464320
1122a3414509
121052228000
136725b7451
14389d0b720
15214446430
hex13e9d5000

5345464320 has 416 divisors, whose sum is σ = 21734327040. Its totient is φ = 1220935680.

The previous prime is 5345464307. The next prime is 5345464337. The reversal of 5345464320 is 234645435.

5345464320 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 4 + 643 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 3870030 + ... + 3871410.

Almost surely, 25345464320 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 5345464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867163520).

5345464320 is an abundant number, since it is smaller than the sum of its proper divisors (16388862720).

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

5345464320 is a wasteful number, since it uses less digits than its factorization.

5345464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 5345464320 is about 73112.6823471824. The cubic root of 5345464320 is about 1748.4846005108.

The spelling of 5345464320 in words is "five billion, three hundred forty-five million, four hundred sixty-four thousand, three hundred twenty".