Search a number
-
+
342311325040 = 24510142365263
BaseRepresentation
bin1001111101100110101…
…10000100110101110000
31012201120021011001010201
410332303112010311300
521102023144400130
6421131115404544
733505536153166
oct4766326046560
91181507131121
10342311325040
1112219a901023
1256413453754
13263839c0009
14127d4689236
158d87052bca
hex4fb3584d70

342311325040 has 40 divisors (see below), whose sum is σ = 803753788608. Its totient is φ = 135568838400.

The previous prime is 342311325023. The next prime is 342311325061. The reversal of 342311325040 is 40523113243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×3423113250403 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21174552 + ... + 21190711.

Almost surely, 2342311325040 is an apocalyptic number.

It is an amenable number.

342311325040 is an abundant number, since it is smaller than the sum of its proper divisors (461442463568).

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

342311325040 is a wasteful number, since it uses less digits than its factorization.

342311325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42365377 (or 42365371 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 342311325040 its reverse (40523113243), we get a palindrome (382834438283).

The spelling of 342311325040 in words is "three hundred forty-two billion, three hundred eleven million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 42365263 84730526 169461052 211826315 338922104 423652630 677844208 847305260 1694610520 3389221040 4278891563 8557783126 17115566252 21394457815 34231132504 42788915630 68462265008 85577831260 171155662520 342311325040