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1342110240 = 25325932021
BaseRepresentation
bin100111111111110…
…1111101000100000
310110112102021010200
41033333233220200
510222040011430
6341102025200
745154514562
oct11777575040
93415367120
101342110240
1162964a319
12315578200
13185090193
14ca363332
157cc5c460
hex4ffefa20

1342110240 has 72 divisors (see below), whose sum is σ = 4579956108. Its totient is φ = 357895680.

The previous prime is 1342110179. The next prime is 1342110241. The reversal of 1342110240 is 420112431.

1342110240 is a `hidden beast` number, since 1 + 3 + 421 + 1 + 0 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1168819344 + 173290896 = 34188^2 + 13164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (1342110241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464571 + ... + 467450.

Almost surely, 21342110240 is an apocalyptic number.

1342110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342110240 is an abundant number, since it is smaller than the sum of its proper divisors (3237845868).

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

1342110240 is a wasteful number, since it uses less digits than its factorization.

1342110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932042 (or 932031 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1342110240 is about 36634.8227783348. The cubic root of 1342110240 is about 1103.0521953465.

Adding to 1342110240 its reverse (420112431), we get a palindrome (1762222671).

The spelling of 1342110240 in words is "one billion, three hundred forty-two million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 932021 1864042 2796063 3728084 4660105 5592126 7456168 8388189 9320210 11184252 13980315 14912336 16776378 18640420 22368504 27960630 29824672 33552756 37280840 41940945 44737008 55921260 67105512 74561680 83881890 89474016 111842520 134211024 149123360 167763780 223685040 268422048 335527560 447370080 671055120 1342110240