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1685414304 = 25347194889
BaseRepresentation
bin110010001110101…
…0110000110100000
311100110101220210000
41210131112012200
511422431224204
6435124140000
756523533220
oct14435260640
94313356700
101685414304
11795410792
123b0537600
1320b240692
1411dbaa080
159ce72039
hex647561a0

1685414304 has 240 divisors, whose sum is σ = 5964235200. Its totient is φ = 456109056.

The previous prime is 1685414303. The next prime is 1685414317. The reversal of 1685414304 is 4034145861.

It is a super-2 number, since 2×16854143042 = 5681242752255608832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1685414303) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 342292 + ... + 347180.

It is an arithmetic number, because the mean of its divisors is an integer number (24850980).

Almost surely, 21685414304 is an apocalyptic number.

1685414304 is a gapful number since it is divisible by the number (14) 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 1685414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982117600).

1685414304 is an abundant number, since it is smaller than the sum of its proper divisors (4278820896).

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

1685414304 is a wasteful number, since it uses less digits than its factorization.

1685414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1685414304 is about 41053.7976806044. The cubic root of 1685414304 is about 1190.0600925330.

The spelling of 1685414304 in words is "one billion, six hundred eighty-five million, four hundred fourteen thousand, three hundred four".