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8345315940 = 22351331345133
BaseRepresentation
bin1111100010110101…
…10110101001100100
3210112121011222022120
413301122312221210
5114042400102230
63500033025540
7413543005113
oct76132665144
923477158276
108345315940
1135a2793425
12174a9b52b0
13a2cc49290
145924b5c7a
1533c9ab310
hex1f16b6a64

8345315940 has 96 divisors (see below), whose sum is σ = 25976165376. Its totient is φ = 1987960320.

The previous prime is 8345315903. The next prime is 8345315989. The reversal of 8345315940 is 495135438.

It is a junction number, because it is equal to n+sod(n) for n = 8345315892 and 8345315901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148387 + ... + 196746.

It is an arithmetic number, because the mean of its divisors is an integer number (270585056).

Almost surely, 28345315940 is an apocalyptic number.

It is an amenable number.

8345315940 is an abundant number, since it is smaller than the sum of its proper divisors (17630849436).

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

8345315940 is a wasteful number, since it uses less digits than its factorization.

8345315940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345189 (or 345187 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 8345315940 is about 91352.7007810935. The cubic root of 8345315940 is about 2028.3719415919.

The spelling of 8345315940 in words is "eight billion, three hundred forty-five million, three hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 12090 24180 345133 690266 1035399 1380532 1725665 2070798 3451330 4141596 4486729 5176995 6902660 8973458 10353990 10699123 13460187 17946916 20707980 21398246 22433645 26920374 32097369 42796492 44867290 53495615 53840748 64194738 67300935 89734580 106991230 128389476 134601870 139088599 160486845 213982460 269203740 278177198 320973690 417265797 556354396 641947380 695442995 834531594 1390885990 1669063188 2086328985 2781771980 4172657970 8345315940