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3485327520 = 253531713299
BaseRepresentation
bin1100111110111101…
…1110000010100000
322222220020222112110
43033233132002200
524114220440040
61333502355320
7152240536503
oct31757360240
98886228473
103485327520
111529416174
1281328bb40
1343710009c
14250c5d13a
15155eae980
hexcfbde0a0

3485327520 has 192 divisors, whose sum is σ = 11496038400. Its totient is φ = 886502400.

The previous prime is 3485327507. The next prime is 3485327557. The reversal of 3485327520 is 257235843.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054831 + ... + 1058129.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 23485327520 is an apocalyptic number.

3485327520 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 3485327520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748019200).

3485327520 is an abundant number, since it is smaller than the sum of its proper divisors (8010710880).

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

3485327520 is a wasteful number, since it uses less digits than its factorization.

3485327520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 3485327520 is about 59036.6625072929. The cubic root of 3485327520 is about 1516.1698813856.

The spelling of 3485327520 in words is "three billion, four hundred eighty-five million, three hundred twenty-seven thousand, five hundred twenty".