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4342021632 = 29331337653
BaseRepresentation
bin1000000101100110…
…11111111000000000
3102012121021112221000
410002303133320000
532343024143012
61554504332000
7212412401124
oct40263377000
912177245830
104342021632
111928a5a133
12a12174000
13542743290
142d2945584
151a62d4ddc
hex102cdfe00

4342021632 has 320 divisors, whose sum is σ = 14237213760. Its totient is φ = 1297907712.

The previous prime is 4342021601. The next prime is 4342021657. The reversal of 4342021632 is 2361202434.

4342021632 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 0 + 21 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4342021596 and 4342021605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6649018 + ... + 6649670.

It is an arithmetic number, because the mean of its divisors is an integer number (44491293).

Almost surely, 24342021632 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 4342021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118606880).

4342021632 is an abundant number, since it is smaller than the sum of its proper divisors (9895192128).

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

4342021632 is a wasteful number, since it uses less digits than its factorization.

4342021632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4342021632 is about 65894.0181807120. The cubic root of 4342021632 is about 1631.4132839062.

The spelling of 4342021632 in words is "four billion, three hundred forty-two million, twenty-one thousand, six hundred thirty-two".