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2311296 = 27313463
BaseRepresentation
bin1000110100010010000000
311100102111120
420310102000
51042430141
6121312240
725434321
oct10642200
94312446
102311296
111339569
12935680
1362c040
14442448
15309c66
hex234480

2311296 has 64 divisors (see below), whose sum is σ = 6625920. Its totient is φ = 709632.

The previous prime is 2311289. The next prime is 2311321. The reversal of 2311296 is 6921132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4761 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (103530).

22311296 is an apocalyptic number.

2311296 is a gapful number since it is divisible by the number (26) 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 2311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312960).

2311296 is an abundant number, since it is smaller than the sum of its proper divisors (4314624).

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

2311296 is a wasteful number, since it uses less digits than its factorization.

2311296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 2311296 is about 1520.2947082721. The cubic root of 2311296 is about 132.2163577602.

The spelling of 2311296 in words is "two million, three hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 463 624 832 926 1248 1389 1664 1852 2496 2778 3704 4992 5556 6019 7408 11112 12038 14816 18057 22224 24076 29632 36114 44448 48152 59264 72228 88896 96304 144456 177792 192608 288912 385216 577824 770432 1155648 2311296