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1684360944 = 2432719312837
BaseRepresentation
bin110010001100101…
…0100111011110000
311100101102101211200
41210121110323300
511422144022234
6435045411200
756511555210
oct14431247360
94311371750
101684360944
11794861342
123b0109b00
1320ac620a6
1411d9b4240
159cd14d99
hex64654ef0

1684360944 has 240 divisors, whose sum is σ = 5855815680. Its totient is φ = 441054720.

The previous prime is 1684360837. The next prime is 1684360967. The reversal of 1684360944 is 4490634861.

It is a super-2 number, since 2×16843609442 = 5674143579345142272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1684360944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592294 + ... + 595130.

It is an arithmetic number, because the mean of its divisors is an integer number (24399232).

Almost surely, 21684360944 is an apocalyptic number.

1684360944 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 1684360944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927907840).

1684360944 is an abundant number, since it is smaller than the sum of its proper divisors (4171454736).

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

1684360944 is a wasteful number, since it uses less digits than its factorization.

1684360944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1684360944 is about 41040.9666552824. The cubic root of 1684360944 is about 1189.8121173142.

The spelling of 1684360944 in words is "one billion, six hundred eighty-four million, three hundred sixty thousand, nine hundred forty-four".