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1684166440 = 235113827651
BaseRepresentation
bin110010001100010…
…0101011100101000
311100101001112000211
41210120211130220
511422121311230
6435041310504
756510115145
oct14430453450
94311045024
101684166440
117947391a0
123b0035434
1320abc46b8
1411d9633cc
159ccc742a
hex64625728

1684166440 has 32 divisors (see below), whose sum is σ = 4133864160. Its totient is φ = 612424000.

The previous prime is 1684166437. The next prime is 1684166453. The reversal of 1684166440 is 446614861.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1684166393 and 1684166402.

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 7 ways as a sum of consecutive naturals, for example, 1913386 + ... + 1914265.

It is an arithmetic number, because the mean of its divisors is an integer number (129183255).

Almost surely, 21684166440 is an apocalyptic number.

1684166440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1684166440 is an abundant number, since it is smaller than the sum of its proper divisors (2449697720).

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

1684166440 is a wasteful number, since it uses less digits than its factorization.

1684166440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827673 (or 3827669 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 1684166440 is about 41038.5969545744. The cubic root of 1684166440 is about 1189.7663171300.

The spelling of 1684166440 in words is "one billion, six hundred eighty-four million, one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 3827651 7655302 15310604 19138255 30621208 38276510 42104161 76553020 84208322 153106040 168416644 210520805 336833288 421041610 842083220 1684166440