Search a number
-
+
30354020 = 22519232151
BaseRepresentation
bin111001111001…
…0101001100100
32010010010212222
41303302221210
530232312040
63002331512
7516001454
oct163625144
963103788
1030354020
1116152474
12a1b9b98
13639a178
144061d64
1529e8bb5
hex1cf2a64

30354020 has 72 divisors (see below), whose sum is σ = 70607040. Its totient is φ = 10929600.

The previous prime is 30354019. The next prime is 30354029. The reversal of 30354020 is 2045303.

It is a self number, because there is not a number n which added to its sum of digits gives 30354020.

It is not an unprimeable number, because it can be changed into a prime (30354029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200945 + ... + 201095.

Almost surely, 230354020 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 30354020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35303520).

30354020 is an abundant number, since it is smaller than the sum of its proper divisors (40253020).

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

30354020 is a wasteful number, since it uses less digits than its factorization.

30354020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 30354020 is about 5509.4482482368. The cubic root of 30354020 is about 311.9407212605.

Adding to 30354020 its reverse (2045303), we get a palindrome (32399323).

The spelling of 30354020 in words is "thirty million, three hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 151 190 230 302 380 437 460 529 604 755 874 1058 1510 1748 2116 2185 2645 2869 3020 3473 4370 5290 5738 6946 8740 10051 10580 11476 13892 14345 17365 20102 28690 34730 40204 50255 57380 65987 69460 79879 100510 131974 159758 201020 263948 319516 329935 399395 659870 798790 1319740 1517701 1597580 3035402 6070804 7588505 15177010 30354020