Search a number
-
+
3020430300 = 2235247921019
BaseRepresentation
bin1011010000001000…
…0001101111011100
321210111110202102220
42310002001233130
522141212232200
61215414145340
7134564143146
oct26402015734
97714422386
103020430300
11130aa54a98
12703652250
133919b8784
14209203c96
1512a27c4a0
hexb4081bdc

3020430300 has 72 divisors (see below), whose sum is σ = 8757772800. Its totient is φ = 803728320.

The previous prime is 3020430289. The next prime is 3020430317. The reversal of 3020430300 is 30340203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3020430300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133191 + ... + 154209.

Almost surely, 23020430300 is an apocalyptic number.

3020430300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378886400).

3020430300 is an abundant number, since it is smaller than the sum of its proper divisors (5737342500).

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

3020430300 is a wasteful number, since it uses less digits than its factorization.

3020430300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21515 (or 21508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3020430300 is about 54958.4415717913. The cubic root of 3020430300 is about 1445.5161209120.

Adding to 3020430300 its reverse (30340203), we get a palindrome (3050770503).

The spelling of 3020430300 in words is "three billion, twenty million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 479 958 1437 1916 2395 2874 4790 5748 7185 9580 11975 14370 21019 23950 28740 35925 42038 47900 63057 71850 84076 105095 126114 143700 210190 252228 315285 420380 525475 630570 1050950 1261140 1576425 2101900 3152850 6305700 10068101 20136202 30204303 40272404 50340505 60408606 100681010 120817212 151021515 201362020 251702525 302043030 503405050 604086060 755107575 1006810100 1510215150 3020430300