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2115344 = 2471117101
BaseRepresentation
bin1000000100011100010000
310222110201002
420010130100
51020142334
6113201132
723660120
oct10043420
93873632
102115344
111215320
128601a8
13590aaa
143d0c80
152bbb7e
hex204710

2115344 has 80 divisors (see below), whose sum is σ = 5463936. Its totient is φ = 768000.

The previous prime is 2115343. The next prime is 2115371. The reversal of 2115344 is 4435112.

2115344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2115343) 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, 20894 + ... + 20994.

22115344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731968).

2115344 is an abundant number, since it is smaller than the sum of its proper divisors (3348592).

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

2115344 is a wasteful number, since it uses less digits than its factorization.

2115344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 2115344 is about 1454.4222220525. The cubic root of 2115344 is about 128.3690521066.

It can be divided in two parts, 211 and 5344, that added together give a palindrome (5555).

The spelling of 2115344 in words is "two million, one hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 101 112 119 136 154 176 187 202 238 272 308 374 404 476 616 707 748 808 952 1111 1232 1309 1414 1496 1616 1717 1904 2222 2618 2828 2992 3434 4444 5236 5656 6868 7777 8888 10472 11312 12019 13736 15554 17776 18887 20944 24038 27472 31108 37774 48076 62216 75548 96152 124432 132209 151096 192304 264418 302192 528836 1057672 2115344