Search a number
-
+
34023150420 = 2235781007501
BaseRepresentation
bin11111101011111100…
…000001001101010100
310020211010120010020020
4133223330001031110
51024134411303140
623344030105140
72313061002240
oct375374011524
9106733503206
1034023150420
111347a1aa536
12671634b1b0
133292a30b8c
14190a8a7420
15d41e236d0
hex7ebf01354

34023150420 has 48 divisors (see below), whose sum is σ = 108874082688. Its totient is φ = 7776720000.

The previous prime is 34023150373. The next prime is 34023150461. The reversal of 34023150420 is 2405132043.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40503331 + ... + 40504170.

It is an arithmetic number, because the mean of its divisors is an integer number (2268210056).

Almost surely, 234023150420 is an apocalyptic number.

34023150420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34023150420 is an abundant number, since it is smaller than the sum of its proper divisors (74850932268).

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

34023150420 is a wasteful number, since it uses less digits than its factorization.

34023150420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81007520 (or 81007518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34023150420 its reverse (2405132043), we get a palindrome (36428282463).

The spelling of 34023150420 in words is "thirty-four billion, twenty-three million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 81007501 162015002 243022503 324030004 405037505 486045006 567052507 810075010 972090012 1134105014 1215112515 1620150020 1701157521 2268210028 2430225030 2835262535 3402315042 4860450060 5670525070 6804630084 8505787605 11341050140 17011575210 34023150420