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2058384 = 243193761
BaseRepresentation
bin111110110100010010000
310212120120110
413312202100
51011332014
6112041320
723332056
oct7664220
93776513
102058384
111186549
12833240
13570ba3
143b81d6
152a9d59
hex1f6890

2058384 has 80 divisors (see below), whose sum is σ = 5842880. Its totient is φ = 622080.

The previous prime is 2058383. The next prime is 2058389. The reversal of 2058384 is 4838502.

It is a super-3 number, since 3×20583843 = 26163777485333901312, which contains 333 as substring.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2058383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33714 + ... + 33774.

It is an arithmetic number, because the mean of its divisors is an integer number (73036).

22058384 is an apocalyptic number.

2058384 is a gapful number since it is divisible by the number (24) 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 2058384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921440).

2058384 is an abundant number, since it is smaller than the sum of its proper divisors (3784496).

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

2058384 is a wasteful number, since it uses less digits than its factorization.

2058384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2058384 is about 1434.7069387161. The cubic root of 2058384 is about 127.2063522796.

It can be divided in two parts, 2058 and 384, that added together give a palindrome (2442).

The spelling of 2058384 in words is "two million, fifty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 61 74 76 111 114 122 148 152 183 222 228 244 296 304 366 444 456 488 592 703 732 888 912 976 1159 1406 1464 1776 2109 2257 2318 2812 2928 3477 4218 4514 4636 5624 6771 6954 8436 9028 9272 11248 13542 13908 16872 18056 18544 27084 27816 33744 36112 42883 54168 55632 85766 108336 128649 171532 257298 343064 514596 686128 1029192 2058384