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2084355 = 325713509
BaseRepresentation
bin111111100111000000011
310220220012100
413330320003
51013144410
6112401443
723500560
oct7747003
93826170
102084355
1111a4009
12846283
1357c960
143c3867
152b28c0
hex1fce03

2084355 has 48 divisors (see below), whose sum is σ = 4455360. Its totient is φ = 877824.

The previous prime is 2084333. The next prime is 2084359. The reversal of 2084355 is 5534802.

It is not a de Polignac number, because 2084355 - 27 = 2084227 is a prime.

It is a d-powerful number, because it can be written as 217 + 0 + 8 + 43 + 34 + 5 + 59 .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841 + ... + 4349.

It is an arithmetic number, because the mean of its divisors is an integer number (92820).

22084355 is an apocalyptic number.

2084355 is an abundant number, since it is smaller than the sum of its proper divisors (2371005).

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

2084355 is a wasteful number, since it uses less digits than its factorization.

2084355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2084355 is about 1443.7295453096. The cubic root of 2084355 is about 127.7391129951.

The spelling of 2084355 in words is "two million, eighty-four thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 509 585 819 1365 1527 2545 3563 4095 4581 6617 7635 10689 17815 19851 22905 32067 33085 46319 53445 59553 99255 138957 160335 231595 297765 416871 694785 2084355