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2084319 = 331719239
BaseRepresentation
bin111111100110111011111
310220220011000
413330313133
51013144234
6112401343
723500506
oct7746737
93826130
102084319
1111a3a86
12846253
1357c933
143c383d
152b2899
hex1fcddf

2084319 has 32 divisors (see below), whose sum is σ = 3456000. Its totient is φ = 1233792.

The previous prime is 2084311. The next prime is 2084333. The reversal of 2084319 is 9134802.

It is not a de Polignac number, because 2084319 - 23 = 2084311 is a prime.

It is a super-2 number, since 2×20843192 = 8688771387522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2084292 and 2084301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8602 + ... + 8840.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

22084319 is an apocalyptic number.

2084319 is a deficient number, since it is larger than the sum of its proper divisors (1371681).

2084319 is a wasteful number, since it uses less digits than its factorization.

2084319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2084319 is about 1443.7170775467. The cubic root of 2084319 is about 127.7383775743.

The spelling of 2084319 in words is "two million, eighty-four thousand, three hundred nineteen".

Divisors: 1 3 9 17 19 27 51 57 153 171 239 323 459 513 717 969 2151 2907 4063 4541 6453 8721 12189 13623 36567 40869 77197 109701 122607 231591 694773 2084319