Search a number
-
+
30354100 = 22527103421
BaseRepresentation
bin111001111001…
…0101010110100
32010010010222221
41303302222310
530232312400
63002332124
7516001630
oct163625264
963103887
1030354100
1116152537
12a1ba044
13639a20a
144061dc0
1529e8c1a
hex1cf2ab4

30354100 has 72 divisors (see below), whose sum is σ = 76189568. Its totient is φ = 10281600.

The previous prime is 30354047. The next prime is 30354109. The reversal of 30354100 is 145303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30354109) 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, 71890 + ... + 72310.

Almost surely, 230354100 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 30354100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38094784).

30354100 is an abundant number, since it is smaller than the sum of its proper divisors (45835468).

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

30354100 is a wasteful number, since it uses less digits than its factorization.

30354100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 30354100 is about 5509.4555084872. The cubic root of 30354100 is about 311.9409953069.

Adding to 30354100 its reverse (145303), we get a palindrome (30499403).

The spelling of 30354100 in words is "thirty million, three hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 421 515 700 721 842 1030 1442 1684 2060 2105 2575 2884 2947 3605 4210 5150 5894 7210 8420 10300 10525 11788 14420 14735 18025 21050 29470 36050 42100 43363 58940 72100 73675 86726 147350 173452 216815 294700 303541 433630 607082 867260 1084075 1214164 1517705 2168150 3035410 4336300 6070820 7588525 15177050 30354100