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2306808 = 2332723199
BaseRepresentation
bin1000110011001011111000
311100012100100
420303023320
51042304213
6121235400
725415250
oct10631370
94305310
102306808
111336159
12932b60
13629c9a
14440960
15308773
hex2332f8

2306808 has 96 divisors (see below), whose sum is σ = 7488000. Its totient is φ = 627264.

The previous prime is 2306797. The next prime is 2306851. The reversal of 2306808 is 8086032.

2306808 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 11493 + ... + 11691.

It is an arithmetic number, because the mean of its divisors is an integer number (78000).

22306808 is an apocalyptic number.

2306808 is a gapful number since it is divisible by the number (28) 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 2306808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744000).

2306808 is an abundant number, since it is smaller than the sum of its proper divisors (5181192).

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

2306808 is a wasteful number, since it uses less digits than its factorization.

2306808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2306808 is about 1518.8179614424. The cubic root of 2306808 is about 132.1307244904.

The spelling of 2306808 in words is "two million, three hundred six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 199 207 252 276 322 398 414 483 504 552 597 644 796 828 966 1194 1288 1393 1449 1592 1656 1791 1932 2388 2786 2898 3582 3864 4179 4577 4776 5572 5796 7164 8358 9154 11144 11592 12537 13731 14328 16716 18308 25074 27462 32039 33432 36616 41193 50148 54924 64078 82386 96117 100296 109848 128156 164772 192234 256312 288351 329544 384468 576702 768936 1153404 2306808