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3529435140 = 22335711292927
BaseRepresentation
bin1101001001011110…
…1110100000000100
3100002222020212211000
43102113232200010
524212013411030
61342120013300
7153314463240
oct32227564004
910088225730
103529435140
111551301950
12826001230
134432a447a
14256a61420
15159cc3860
hexd25ee804

3529435140 has 384 divisors, whose sum is σ = 14166835200. Its totient is φ = 707857920.

The previous prime is 3529435139. The next prime is 3529435153. The reversal of 3529435140 is 415349253.

3529435140 is a `hidden beast` number, since 3 + 52 + 94 + 3 + 514 + 0 = 666.

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 = 3529435095 and 3529435104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1204357 + ... + 1207283.

It is an arithmetic number, because the mean of its divisors is an integer number (36892800).

Almost surely, 23529435140 is an apocalyptic number.

3529435140 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 3529435140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083417600).

3529435140 is an abundant number, since it is smaller than the sum of its proper divisors (10637400060).

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

3529435140 is a wasteful number, since it uses less digits than its factorization.

3529435140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3529435140 is about 59409.0493106900. The cubic root of 3529435140 is about 1522.5389152615.

The spelling of 3529435140 in words is "three billion, five hundred twenty-nine million, four hundred thirty-five thousand, one hundred forty".