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1020314340 = 223351889471
BaseRepresentation
bin111100110100001…
…100001011100100
32122002220100011000
4330310030023210
54042200024330
6245124513300
734166346243
oct7464141344
92562810130
101020314340
11483a392a1
1224584b830
131335006c6
149971895a
155e895560
hex3cd0c2e4

1020314340 has 48 divisors (see below), whose sum is σ = 3174312960. Its totient is φ = 272083680.

The previous prime is 1020314327. The next prime is 1020314341. The reversal of 1020314340 is 434130201.

1020314340 is a `hidden beast` number, since 10 + 2 + 0 + 314 + 340 = 666.

1020314340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1020314341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944196 + ... + 945275.

It is an arithmetic number, because the mean of its divisors is an integer number (66131520).

Almost surely, 21020314340 is an apocalyptic number.

1020314340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020314340 is an abundant number, since it is smaller than the sum of its proper divisors (2153998620).

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

1020314340 is a wasteful number, since it uses less digits than its factorization.

1020314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889489 (or 1889481 counting only the distinct ones).

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

The square root of 1020314340 is about 31942.3596498443. The cubic root of 1020314340 is about 1006.7261047508.

Adding to 1020314340 its reverse (434130201), we get a palindrome (1454444541).

The spelling of 1020314340 in words is "one billion, twenty million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1889471 3778942 5668413 7557884 9447355 11336826 17005239 18894710 22673652 28342065 34010478 37789420 51015717 56684130 68020956 85026195 102031434 113368260 170052390 204062868 255078585 340104780 510157170 1020314340