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10307234340 = 22335131468267
BaseRepresentation
bin10011001100101101…
…11110101000100100
3222121022212202102000
421212112332220210
5132102122444330
64422435445300
7513265021614
oct114626765044
928538782360
1010307234340
11440a18a797
121bb7a56830
13c8354c040
146dac9aa44
15404d4a560
hex2665bea24

10307234340 has 96 divisors (see below), whose sum is σ = 34533663360. Its totient is φ = 2537163648.

The previous prime is 10307234339. The next prime is 10307234341. The reversal of 10307234340 is 4343270301.

10307234340 is a `hidden beast` number, since 10 + 307 + 2 + 3 + 4 + 340 = 666.

10307234340 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 (10307234339) and next prime (10307234341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10307234341) 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 31 ways as a sum of consecutive naturals, for example, 727114 + ... + 741153.

It is an arithmetic number, because the mean of its divisors is an integer number (359725660).

Almost surely, 210307234340 is an apocalyptic number.

10307234340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10307234340 is an abundant number, since it is smaller than the sum of its proper divisors (24226429020).

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

10307234340 is a wasteful number, since it uses less digits than its factorization.

10307234340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468298 (or 1468290 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 10307234340 in words is "ten billion, three hundred seven million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 1468267 2936534 4404801 5873068 7341335 8809602 13214403 14682670 17619204 19087471 22024005 26428806 29365340 38174942 39643209 44048010 52857612 57262413 66072015 76349884 79286418 88096020 95437355 114524826 132144030 158572836 171787239 190874710 198216045 229049652 264288060 286312065 343574478 381749420 396432090 515361717 572624130 687148956 792864180 858936195 1030723434 1145248260 1717872390 2061446868 2576808585 3435744780 5153617170 10307234340