Search a number
-
+
1342234240 = 2756134381
BaseRepresentation
bin101000000000000…
…1101111010000000
310110112122120020021
41100000031322000
510222102443430
6341104423224
745155542234
oct12000157200
93415576207
101342234240
116297244a6
12315617b14
13185104759
14ca3965c4
157cc8407a
hex5000de80

1342234240 has 64 divisors (see below), whose sum is σ = 3261476520. Its totient is φ = 528076800.

The previous prime is 1342234219. The next prime is 1342234241. The reversal of 1342234240 is 424322431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 390141504 + 952092736 = 19752^2 + 30856^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1342234241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21850 + ... + 56230.

Almost surely, 21342234240 is an apocalyptic number.

1342234240 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 1342234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630738260).

1342234240 is an abundant number, since it is smaller than the sum of its proper divisors (1919242280).

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

1342234240 is an equidigital number, since it uses as much as digits as its factorization.

1342234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34461 (or 34449 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1342234240 is about 36636.5151181168. The cubic root of 1342234240 is about 1103.0861652982.

Adding to 1342234240 its reverse (424322431), we get a palindrome (1766556671).

The spelling of 1342234240 in words is "one billion, three hundred forty-two million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1220 1952 2440 3904 4880 7808 9760 19520 34381 39040 68762 137524 171905 275048 343810 550096 687620 1100192 1375240 2097241 2200384 2750480 4194482 4400768 5500960 8388964 10486205 11001920 16777928 20972410 22003840 33555856 41944820 67111712 83889640 134223424 167779280 268446848 335558560 671117120 1342234240