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1340643240 = 233256595651
BaseRepresentation
bin100111111101000…
…1001011110101000
310110102122201210100
41033322021132220
510221201040430
6341010345400
745136164606
oct11772113650
93412581710
101340643240
11628838122
12314b8b260
13184998531
14ca0a0876
157ca6c960
hex4fe897a8

1340643240 has 96 divisors (see below), whose sum is σ = 4364474400. Its totient is φ = 356899200.

The previous prime is 1340643221. The next prime is 1340643257. The reversal of 1340643240 is 423460431.

1340643240 is a `hidden beast` number, since 13 + 4 + 0 + 643 + 2 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234415 + ... + 240065.

It is an arithmetic number, because the mean of its divisors is an integer number (45463275).

Almost surely, 21340643240 is an apocalyptic number.

1340643240 is a gapful number since it is divisible by the number (10) 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 1340643240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182237200).

1340643240 is an abundant number, since it is smaller than the sum of its proper divisors (3023831160).

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

1340643240 is a wasteful number, since it uses less digits than its factorization.

1340643240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1340643240 is about 36614.7953701779. The cubic root of 1340643240 is about 1102.6501500037.

The spelling of 1340643240 in words is "one billion, three hundred forty million, six hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 659 1318 1977 2636 3295 3954 5272 5651 5931 6590 7908 9885 11302 11862 13180 15816 16953 19770 22604 23724 26360 28255 29655 33906 39540 45208 47448 50859 56510 59310 67812 79080 84765 101718 113020 118620 135624 169530 203436 226040 237240 254295 339060 406872 508590 678120 1017180 2034360 3724009 7448018 11172027 14896036 18620045 22344054 29792072 33516081 37240090 44688108 55860135 67032162 74480180 89376216 111720270 134064324 148960360 167580405 223440540 268128648 335160810 446881080 670321620 1340643240