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2320296 = 2331121747
BaseRepresentation
bin1000110110011110101000
311100212211220
420312132220
51043222141
6121422040
725502466
oct10663650
94325756
102320296
111345300
1293a920
13633174
14445836
1530c766
hex2367a8

2320296 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 647680.

The previous prime is 2320291. The next prime is 2320301. The reversal of 2320296 is 6920232.

2320296 = 742 + 752 + ... + 1942.

2320296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2320291) and next prime (2320301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49345 + ... + 49391.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22320296 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 2320296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2320296 is an abundant number, since it is smaller than the sum of its proper divisors (4574424).

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

2320296 is a wasteful number, since it uses less digits than its factorization.

2320296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

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

The square root of 2320296 is about 1523.2517848340. The cubic root of 2320296 is about 132.3877487652.

The spelling of 2320296 in words is "two million, three hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 47 51 66 68 88 94 102 121 132 136 141 187 188 204 242 264 282 363 374 376 408 484 517 561 564 726 748 799 968 1034 1122 1128 1452 1496 1551 1598 2057 2068 2244 2397 2904 3102 3196 4114 4136 4488 4794 5687 6171 6204 6392 8228 8789 9588 11374 12342 12408 16456 17061 17578 19176 22748 24684 26367 34122 35156 45496 49368 52734 68244 70312 96679 105468 136488 193358 210936 290037 386716 580074 773432 1160148 2320296