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307273096 = 231321729461
BaseRepresentation
bin10010010100001…
…001110110001000
3210102012002110001
4102110021312020
51112130214341
650253532344
710420530634
oct2224116610
9712162401
10307273096
111484a1909
1286aa40b4
134b876400
142cb47dc4
151be98d31
hex12509d88

307273096 has 96 divisors (see below), whose sum is σ = 684822600. Its totient is φ = 128593920.

The previous prime is 307273091. The next prime is 307273139. The reversal of 307273096 is 690372703.

It can be written as a sum of positive squares in 12 ways, for example, as 1512900 + 305760196 = 1230^2 + 17486^2 .

It is not an unprimeable number, because it can be changed into a prime (307273091) 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, 666306 + ... + 666766.

Almost surely, 2307273096 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 307273096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342411300).

307273096 is an abundant number, since it is smaller than the sum of its proper divisors (377549504).

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

307273096 is a wasteful number, since it uses less digits than its factorization.

307273096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 307273096 is about 17529.2069415590. The cubic root of 307273096 is about 674.7996449714.

The spelling of 307273096 in words is "three hundred seven million, two hundred seventy-three thousand, ninety-six".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 68 104 116 136 169 221 232 338 377 442 461 493 676 754 884 922 986 1352 1508 1768 1844 1972 2873 3016 3688 3944 4901 5746 5993 6409 7837 9802 11492 11986 12818 13369 15674 19604 22984 23972 25636 26738 31348 39208 47944 51272 53476 62696 77909 83317 101881 106952 155818 166634 173797 203762 227273 311636 333268 347594 407524 454546 623272 666536 695188 815048 909092 1324453 1390376 1818184 2259361 2648906 2954549 4518722 5297812 5909098 9037444 10595624 11818196 18074888 23636392 38409137 76818274 153636548 307273096