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2084440314 = 231149516379
BaseRepresentation
bin111110000111110…
…0000100011111010
312101021020112120010
41330033200203322
513232104042224
6542500442350
7102440310315
oct17417404372
95337215503
102084440314
1197a680950
124a20a93b6
13272b00848
1415ab9997c
15c2ee1e29
hex7c3e08fa

2084440314 has 32 divisors (see below), whose sum is σ = 4549501440. Its totient is φ = 631422000.

The previous prime is 2084440307. The next prime is 2084440327. The reversal of 2084440314 is 4130444802.

It is a super-4 number, since 4×20844403144 (a number of 38 digits) contains 4444 as substring.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 323577 + ... + 329955.

It is an arithmetic number, because the mean of its divisors is an integer number (142171920).

Almost surely, 22084440314 is an apocalyptic number.

2084440314 is an abundant number, since it is smaller than the sum of its proper divisors (2465061126).

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

2084440314 is a wasteful number, since it uses less digits than its factorization.

2084440314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346.

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2084440314 is about 45655.6712139905. The cubic root of 2084440314 is about 1277.4085578624.

The spelling of 2084440314 in words is "two billion, eighty-four million, four hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 4951 6379 9902 12758 14853 19137 29706 38274 54461 70169 108922 140338 163383 210507 326766 421014 31582429 63164858 94747287 189494574 347406719 694813438 1042220157 2084440314