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314210340 = 22345193957
BaseRepresentation
bin10010101110100…
…111100000100100
3210220020112120000
4102232213200210
51120414212330
651102341300
710533513063
oct2256474044
9726215500
10314210340
111513aa974
128928a830
1350134ba2
142da321da
151c8b9560
hex12ba7824

314210340 has 60 divisors (see below), whose sum is σ = 985694556. Its totient is φ = 83788992.

The previous prime is 314210321. The next prime is 314210357. The reversal of 314210340 is 43012413.

314210340 is a `hidden beast` number, since 314 + 2 + 10 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 252619236 = 7848^2 + 15894^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95359 + ... + 98598.

Almost surely, 2314210340 is an apocalyptic number.

314210340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314210340 is an abundant number, since it is smaller than the sum of its proper divisors (671484216).

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

314210340 is a wasteful number, since it uses less digits than its factorization.

314210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193978 (or 193967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314210340 is about 17725.9792395230. The cubic root of 314210340 is about 679.8401729332.

Adding to 314210340 its reverse (43012413), we get a palindrome (357222753).

The spelling of 314210340 in words is "three hundred fourteen million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 193957 387914 581871 775828 969785 1163742 1745613 1939570 2327484 2909355 3491226 3879140 5236839 5818710 6982452 8728065 10473678 11637420 15710517 17456130 20947356 26184195 31421034 34912260 52368390 62842068 78552585 104736780 157105170 314210340