Search a number
-
+
34040511150 = 23521911944039
BaseRepresentation
bin11111101100111110…
…001111101010101110
310020212100020010200020
4133230332033222232
51024203332324100
623345450143010
72313361366512
oct375476175256
9106770203606
1034040511150
1113488a87948
126720121a66
1332964cbbb9
14190cd06142
15d437025a0
hex7ecf8faae

34040511150 has 48 divisors (see below), whose sum is σ = 88863657600. Its totient is φ = 8599707360.

The previous prime is 34040511143. The next prime is 34040511151. The reversal of 34040511150 is 5111504043.

It is a happy number.

It is a super-3 number, since 3×340405111503 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34040511150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040511151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5969170 + ... + 5974869.

It is an arithmetic number, because the mean of its divisors is an integer number (1851326200).

Almost surely, 234040511150 is an apocalyptic number.

34040511150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34040511150 is an abundant number, since it is smaller than the sum of its proper divisors (54823146450).

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

34040511150 is a wasteful number, since it uses less digits than its factorization.

34040511150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11944073 (or 11944068 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 34040511150 in words is "thirty-four billion, forty million, five hundred eleven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850 11944039 23888078 35832117 59720195 71664234 119440390 179160585 226936741 298600975 358321170 453873482 597201950 680810223 895802925 1134683705 1361620446 1791605850 2269367410 3404051115 5673418525 6808102230 11346837050 17020255575 34040511150