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2111304 = 2331367101
BaseRepresentation
bin1000000011011101001000
310222021011110
420003131020
51020030204
6113130320
723642256
oct10033510
93867143
102111304
111212288
128599a0
1358bcc0
143cd5d6
152ba889
hex203748

2111304 has 64 divisors (see below), whose sum is σ = 5826240. Its totient is φ = 633600.

The previous prime is 2111303. The next prime is 2111309. The reversal of 2111304 is 4031112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2111304.

It is not an unprimeable number, because it can be changed into a prime (2111303) 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, 20854 + ... + 20954.

It is an arithmetic number, because the mean of its divisors is an integer number (91035).

22111304 is an apocalyptic number.

2111304 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 2111304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913120).

2111304 is an abundant number, since it is smaller than the sum of its proper divisors (3714936).

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

2111304 is a wasteful number, since it uses less digits than its factorization.

2111304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2111304 is about 1453.0326906164. The cubic root of 2111304 is about 128.2872779399.

Adding to 2111304 its reverse (4031112), we get a palindrome (6142416).

It can be divided in two parts, 2111 and 304, that added together give a triangular number (2415 = T69).

The spelling of 2111304 in words is "two million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 101 104 134 156 201 202 268 303 312 402 404 536 606 804 808 871 1212 1313 1608 1742 2424 2613 2626 3484 3939 5226 5252 6767 6968 7878 10452 10504 13534 15756 20301 20904 27068 31512 40602 54136 81204 87971 162408 175942 263913 351884 527826 703768 1055652 2111304