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2998944 = 25341389
BaseRepresentation
bin1011011100001010100000
312122100210000
423130022200
51231431234
6144140000
734330164
oct13341240
95570700
102998944
111769173
121007600
13810030
14580ca4
153e3899
hex2dc2a0

2998944 has 120 divisors (see below), whose sum is σ = 9604980. Its totient is φ = 912384.

The previous prime is 2998939. The next prime is 2998981. The reversal of 2998944 is 4498992.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 374544 = 1620^2 + 612^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2998944.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33652 + ... + 33740.

22998944 is an apocalyptic number.

2998944 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 2998944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802490).

2998944 is an abundant number, since it is smaller than the sum of its proper divisors (6606036).

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

2998944 is a wasteful number, since it uses less digits than its factorization.

2998944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2998944 is about 1731.7459397960. The cubic root of 2998944 is about 144.2080326498.

The spelling of 2998944 in words is "two million, nine hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 89 96 104 108 117 144 156 162 178 208 216 234 267 288 312 324 351 356 416 432 468 534 624 648 702 712 801 864 936 1053 1068 1157 1248 1296 1404 1424 1602 1872 2106 2136 2314 2403 2592 2808 2848 3204 3471 3744 4212 4272 4628 4806 5616 6408 6942 7209 8424 8544 9256 9612 10413 11232 12816 13884 14418 16848 18512 19224 20826 25632 27768 28836 31239 33696 37024 38448 41652 55536 57672 62478 76896 83304 93717 111072 115344 124956 166608 187434 230688 249912 333216 374868 499824 749736 999648 1499472 2998944