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4341450960 = 2434572112113
BaseRepresentation
bin1000000101100010…
…10100100011010000
3102012120012120010000
410002301110203100
532342402412320
61554444210000
7212404503300
oct40261244320
912176176100
104341450960
1119286aa400
12a11b39900
135425a35c2
142d2837600
151a6220c90
hex102c548d0

4341450960 has 900 divisors, whose sum is σ = 19450450404. Its totient is φ = 894136320.

The previous prime is 4341450943. The next prime is 4341451031. The reversal of 4341450960 is 690541434.

It can be written as a sum of positive squares in 2 ways, for example, as 622402704 + 3719048256 = 24948^2 + 60984^2 .

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 (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38419864 + ... + 38419976.

Almost surely, 24341450960 is an apocalyptic number.

4341450960 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 4341450960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9725225202).

4341450960 is an abundant number, since it is smaller than the sum of its proper divisors (15108999444).

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

4341450960 is a wasteful number, since it uses less digits than its factorization.

4341450960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4341450960 is about 65889.6878122821. The cubic root of 4341450960 is about 1631.3418085466.

The spelling of 4341450960 in words is "four billion, three hundred forty-one million, four hundred fifty thousand, nine hundred sixty".