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316009800 = 2332524192
BaseRepresentation
bin10010110101011…
…110110101001000
3211000121221221200
4102311132311020
51121344303200
651205104200
710555016241
oct2265366510
9730557850
10316009800
11152419927
12899b8060
1350614c62
142dd7dcc8
151cb22800
hex12d5ed48

316009800 has 108 divisors (see below), whose sum is σ = 1063805145. Its totient is φ = 84068160.

The previous prime is 316009789. The next prime is 316009823. The reversal of 316009800 is 8900613.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 309689604 + 6320196 = 17598^2 + 2514^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12570.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 753991 + ... + 754409.

Almost surely, 2316009800 is an apocalyptic number.

316009800 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 316009800

316009800 is an abundant number, since it is smaller than the sum of its proper divisors (747795345).

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

316009800 is a wasteful number, since it uses less digits than its factorization.

316009800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 316009800 is about 17776.6644790298. The cubic root of 316009800 is about 681.1355018975.

The spelling of 316009800 in words is "three hundred sixteen million, nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 419 450 600 838 900 1257 1676 1800 2095 2514 3352 3771 4190 5028 6285 7542 8380 10056 10475 12570 15084 16760 18855 20950 25140 30168 31425 37710 41900 50280 62850 75420 83800 94275 125700 150840 175561 188550 251400 351122 377100 526683 702244 754200 877805 1053366 1404488 1580049 1755610 2106732 2633415 3160098 3511220 4213464 4389025 5266830 6320196 7022440 7900245 8778050 10533660 12640392 13167075 15800490 17556100 21067320 26334150 31600980 35112200 39501225 52668300 63201960 79002450 105336600 158004900 316009800