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4326315840 = 263357211929
BaseRepresentation
bin1000000011101111…
…00101011101000000
3102011111201121122000
410001313211131000
532330014101330
61553143544000
7212132035500
oct40167453500
912144647560
104326315840
111920102140
12a08a5b000
1353c404602
142d0817a00
151a4c31560
hex101de5740

4326315840 has 672 divisors, whose sum is σ = 19388937600. Its totient is φ = 898007040.

The previous prime is 4326315811. The next prime is 4326315841. The reversal of 4326315840 is 485136234.

4326315840 is a `hidden beast` number, since 43 + 2 + 6 + 31 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 4326315795 and 4326315804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4326315841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656496 + ... + 4657424.

Almost surely, 24326315840 is an apocalyptic number.

4326315840 is a gapful number since it is divisible by the number (40) 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 4326315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694468800).

4326315840 is an abundant number, since it is smaller than the sum of its proper divisors (15062621760).

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

4326315840 is a wasteful number, since it uses less digits than its factorization.

4326315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4326315840 is about 65774.7355752952. The cubic root of 4326315840 is about 1629.4438791875.

The spelling of 4326315840 in words is "four billion, three hundred twenty-six million, three hundred fifteen thousand, eight hundred forty".