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3532243680 = 253357176871
BaseRepresentation
bin1101001010001001…
…1100001011100000
3100010011112120102000
43102202130023200
524213223244210
61342300124000
7153350401350
oct32242341340
910104476360
103532243680
11155294aa59
12826b36600
13443a48924
14257192b60
1515a17aac0
hexd289c2e0

3532243680 has 384 divisors, whose sum is σ = 14962268160. Its totient is φ = 759767040.

The previous prime is 3532243679. The next prime is 3532243709. The reversal of 3532243680 is 863422353.

It is a happy number.

3532243680 is a `hidden beast` number, since 3 + 532 + 2 + 43 + 6 + 80 = 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 63 ways as a sum of consecutive naturals, for example, 510645 + ... + 517515.

It is an arithmetic number, because the mean of its divisors is an integer number (38964240).

Almost surely, 23532243680 is an apocalyptic number.

3532243680 is a gapful number since it is divisible by the number (30) 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 3532243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481134080).

3532243680 is an abundant number, since it is smaller than the sum of its proper divisors (11430024480).

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

3532243680 is a wasteful number, since it uses less digits than its factorization.

3532243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3532243680 is about 59432.6819182847. The cubic root of 3532243680 is about 1522.9426604824.

The spelling of 3532243680 in words is "three billion, five hundred thirty-two million, two hundred forty-three thousand, six hundred eighty".