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806346840 = 2335134011289
BaseRepresentation
bin110000000011111…
…110000001011000
32002012021122220210
4300003332001120
53122411044330
6212002451120
725660556265
oct6003760130
92065248823
10806346840
11384186352
121a6063aa0
13cb095a10
147913c26c
154abcc8b0
hex300fe058

806346840 has 128 divisors (see below), whose sum is σ = 2613643200. Its totient is φ = 197836800.

The previous prime is 806346817. The next prime is 806346851. The reversal of 806346840 is 48643608.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 624916 + ... + 626204.

Almost surely, 2806346840 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 806346840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306821600).

806346840 is an abundant number, since it is smaller than the sum of its proper divisors (1807296360).

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

806346840 is a wasteful number, since it uses less digits than its factorization.

806346840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 806346840 is about 28396.2469351145. The cubic root of 806346840 is about 930.7662548316.

The spelling of 806346840 in words is "eight hundred six million, three hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 401 520 780 802 1203 1289 1560 1604 2005 2406 2578 3208 3867 4010 4812 5156 5213 6015 6445 7734 8020 9624 10312 10426 12030 12890 15468 15639 16040 16757 19335 20852 24060 25780 26065 30936 31278 33514 38670 41704 48120 50271 51560 52130 62556 67028 77340 78195 83785 100542 104260 125112 134056 154680 156390 167570 201084 208520 251355 312780 335140 402168 502710 516889 625560 670280 1005420 1033778 1550667 2010840 2067556 2584445 3101334 4135112 5168890 6202668 6719557 7753335 10337780 12405336 13439114 15506670 20158671 20675560 26878228 31013340 33597785 40317342 53756456 62026680 67195570 80634684 100793355 134391140 161269368 201586710 268782280 403173420 806346840