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1684095336 = 23327113141239
BaseRepresentation
bin110010001100001…
…0100000101101000
311100100220220111100
41210120110011220
511422112022321
6435040001400
756506400640
oct14430240550
94310826440
101684095336
1179469a830
123b0000260
1320ab9b221
1411d945520
159ccb1326
hex64614168

1684095336 has 384 divisors, whose sum is σ = 6038323200. Its totient is φ = 411264000.

The previous prime is 1684095319. The next prime is 1684095383. The reversal of 1684095336 is 6335904861.

1684095336 is a `hidden beast` number, since 168 + 409 + 53 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1684095291 and 1684095300.

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 95 ways as a sum of consecutive naturals, for example, 7046305 + ... + 7046543.

It is an arithmetic number, because the mean of its divisors is an integer number (15724800).

Almost surely, 21684095336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684095336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019161600).

1684095336 is an abundant number, since it is smaller than the sum of its proper divisors (4354227864).

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

1684095336 is a wasteful number, since it uses less digits than its factorization.

1684095336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1684095336 is about 41037.7306390107. The cubic root of 1684095336 is about 1189.7495732713.

The spelling of 1684095336 in words is "one billion, six hundred eighty-four million, ninety-five thousand, three hundred thirty-six".