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307715040 = 25325972203
BaseRepresentation
bin10010010101110…
…101101111100000
3210110000112200100
4102111311233200
51112233340130
650311222400
710424351253
oct2225655740
9713015610
10307715040
11148773956
1287077a00
134b99c609
142cc2109a
151c034c60
hex12575be0

307715040 has 144 divisors (see below), whose sum is σ = 1061384688. Its totient is φ = 81174528.

The previous prime is 307715039. The next prime is 307715041. The reversal of 307715040 is 40517703.

It is an interprime number because it is at equal distance from previous prime (307715039) and next prime (307715041).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 307714995 and 307715013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307715041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138579 + ... + 140781.

It is an arithmetic number, because the mean of its divisors is an integer number (7370727).

Almost surely, 2307715040 is an apocalyptic number.

307715040 is a gapful number since it is divisible by the number (30) 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 307715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530692344).

307715040 is an abundant number, since it is smaller than the sum of its proper divisors (753669648).

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

307715040 is a wasteful number, since it uses less digits than its factorization.

307715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 307715040 is about 17541.8083446377. The cubic root of 307715040 is about 675.1230063896.

The spelling of 307715040 in words is "three hundred seven million, seven hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 97 120 144 160 180 194 240 288 291 360 388 480 485 582 720 776 873 970 1164 1440 1455 1552 1746 1940 2203 2328 2910 3104 3492 3880 4365 4406 4656 5820 6609 6984 7760 8730 8812 9312 11015 11640 13218 13968 15520 17460 17624 19827 22030 23280 26436 27936 33045 34920 35248 39654 44060 46560 52872 66090 69840 70496 79308 88120 99135 105744 132180 139680 158616 176240 198270 211488 213691 264360 317232 352480 396540 427382 528720 634464 641073 793080 854764 1057440 1068455 1282146 1586160 1709528 1923219 2136910 2564292 3172320 3205365 3419056 3846438 4273820 5128584 6410730 6838112 7692876 8547640 9616095 10257168 12821460 15385752 17095280 19232190 20514336 25642920 30771504 34190560 38464380 51285840 61543008 76928760 102571680 153857520 307715040