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1342108944 = 2432113132707
BaseRepresentation
bin100111111111110…
…1111010100010000
310110112102012100200
41033333233110100
510222034441234
6341102015200
745154511031
oct11777572420
93415365320
101342108944
11629649350
12315577500
1318508c707
14ca362a88
157cc5bd99
hex4ffef510

1342108944 has 120 divisors (see below), whose sum is σ = 4112108832. Its totient is φ = 405250560.

The previous prime is 1342108939. The next prime is 1342108961. The reversal of 1342108944 is 4498012431.

It is a happy number.

It is a super-3 number, since 3×13421089443 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1342108899 and 1342108908.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 494439 + ... + 497145.

Almost surely, 21342108944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342108944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056054416).

1342108944 is an abundant number, since it is smaller than the sum of its proper divisors (2769999888).

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

1342108944 is a wasteful number, since it uses less digits than its factorization.

1342108944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1342108944 is about 36634.8050902417. The cubic root of 1342108944 is about 1103.0518402947.

The spelling of 1342108944 in words is "one billion, three hundred forty-two million, one hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 313 396 528 626 792 939 1252 1584 1878 2504 2707 2817 3443 3756 5008 5414 5634 6886 7512 8121 10329 10828 11268 13772 15024 16242 20658 21656 22536 24363 27544 29777 30987 32484 41316 43312 45072 48726 55088 59554 61974 64968 82632 89331 97452 119108 123948 129936 165264 178662 194904 238216 247896 267993 357324 389808 476432 495792 535986 714648 847291 1071972 1429296 1694582 2143944 2541873 3389164 4287888 5083746 6778328 7625619 9320201 10167492 13556656 15251238 18640402 20334984 27960603 30502476 37280804 40669968 55921206 61004952 74561608 83881809 111842412 122009904 149123216 167763618 223684824 335527236 447369648 671054472 1342108944