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2306797248 = 26371716367
BaseRepresentation
bin1000100101111110…
…1110111011000000
312221202122102221010
42021133232323000
514211020002443
61020522400520
7111110311260
oct21137567300
95852572833
102306797248
11a84143a08
12544660140
132a9bb4cb2
1417c51b7a0
15d77b5733
hex897eeec0

2306797248 has 56 divisors (see below), whose sum is σ = 6975319552. Its totient is φ = 659084544.

The previous prime is 2306797247. The next prime is 2306797261. The reversal of 2306797248 is 8427976032.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2306797197 and 2306797206.

It is not an unprimeable number, because it can be changed into a prime (2306797243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856840 + ... + 859527.

Almost surely, 22306797248 is an apocalyptic number.

2306797248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2306797248 is an abundant number, since it is smaller than the sum of its proper divisors (4668522304).

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

2306797248 is a wasteful number, since it uses less digits than its factorization.

2306797248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716389 (or 1716379 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 2306797248 is about 48029.1291613746. The cubic root of 2306797248 is about 1321.3051920364.

The spelling of 2306797248 in words is "two billion, three hundred six million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1716367 3432734 5149101 6865468 10298202 12014569 13730936 20596404 24029138 27461872 36043707 41192808 48058276 54923744 72087414 82385616 96116552 109847488 144174828 164771232 192233104 288349656 329542464 384466208 576699312 768932416 1153398624 2306797248