Search a number
-
+
320074305030 = 2355131717821
BaseRepresentation
bin1001010100001011110…
…10100100111000000110
31010121011112021101100000
410222011322210320012
520221003010230110
6403012355102130
732060511463104
oct4520572447006
91117145241300
10320074305030
11113819667837
12520482a1946
132424ba216cc
14116c524ac74
1584d4c061c0
hex4a85ea4e06

320074305030 has 48 divisors (see below), whose sum is σ = 863015169744. Its totient is φ = 85353147360.

The previous prime is 320074305017. The next prime is 320074305053. The reversal of 320074305030 is 30503470023.

320074305030 is a `hidden beast` number, since 320 + 0 + 7 + 4 + 305 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320074304985 and 320074305003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65856481 + ... + 65861340.

It is an arithmetic number, because the mean of its divisors is an integer number (17979482703).

Almost surely, 2320074305030 is an apocalyptic number.

320074305030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320074305030 is an abundant number, since it is smaller than the sum of its proper divisors (542940864714).

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

320074305030 is a wasteful number, since it uses less digits than its factorization.

320074305030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131717843 (or 131717831 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

Adding to 320074305030 its reverse (30503470023), we get a palindrome (350577775053).

The spelling of 320074305030 in words is "three hundred twenty billion, seventy-four million, three hundred five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 131717821 263435642 395153463 658589105 790306926 1185460389 1317178210 1975767315 2370920778 3556381167 3951534630 5927301945 7112762334 10669143501 11854603890 17781905835 21338287002 32007430503 35563811670 53345717505 64014861006 106691435010 160037152515 320074305030