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2340096 = 28311277
BaseRepresentation
bin1000111011010100000000
311101220000020
420323110000
51044340341
6122053440
725614303
oct10732400
94356006
102340096
111359170
1294a280
1363c195
1444cb3a
15313566
hex23b500

2340096 has 72 divisors (see below), whose sum is σ = 6818784. Its totient is φ = 706560.

The previous prime is 2340071. The next prime is 2340119. The reversal of 2340096 is 6900432.

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, 8310 + ... + 8586.

22340096 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 2340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409392).

2340096 is an abundant number, since it is smaller than the sum of its proper divisors (4478688).

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

2340096 is a wasteful number, since it uses less digits than its factorization.

2340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2340096 is about 1529.7372323376. The cubic root of 2340096 is about 132.7632549424.

The spelling of 2340096 in words is "two million, three hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 277 352 384 528 554 704 768 831 1056 1108 1408 1662 2112 2216 2816 3047 3324 4224 4432 6094 6648 8448 8864 9141 12188 13296 17728 18282 24376 26592 35456 36564 48752 53184 70912 73128 97504 106368 146256 195008 212736 292512 390016 585024 780032 1170048 2340096