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1324030420 = 225234721303
BaseRepresentation
bin100111011101011…
…0001100111010100
310102021101201021201
41032322301213110
510202422433140
6335214322244
744545033666
oct11672614724
93367351251
101324030420
1161a420719
1230b4b9384
131813cca6b
14c7bb8536
157b38a49a
hex4eeb19d4

1324030420 has 72 divisors (see below), whose sum is σ = 2966673024. Its totient is φ = 495426624.

The previous prime is 1324030403. The next prime is 1324030439. The reversal of 1324030420 is 240304231.

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, 1015489 + ... + 1016791.

It is an arithmetic number, because the mean of its divisors is an integer number (41203792).

Almost surely, 21324030420 is an apocalyptic number.

1324030420 is a gapful number since it is divisible by the number (10) 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 1324030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483336512).

1324030420 is an abundant number, since it is smaller than the sum of its proper divisors (1642642604).

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

1324030420 is a wasteful number, since it uses less digits than its factorization.

1324030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1324030420 is about 36387.2288035239. The cubic root of 1324030420 is about 1098.0766444729.

Adding to 1324030420 its reverse (240304231), we get a palindrome (1564334651).

It can be divided in two parts, 13240 and 30420, that added together give a triangular number (43660 = T295).

The spelling of 1324030420 in words is "one billion, three hundred twenty-four million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 1303 2162 2209 2606 4324 4418 5212 5405 6515 8836 10810 11045 13030 21620 22090 26060 29969 44180 50807 59938 61241 101614 119876 122482 149845 203228 244964 254035 299690 306205 508070 599380 612410 1016140 1224820 1408543 2817086 2878327 5634172 5756654 7042715 11513308 14085430 14391635 28170860 28783270 57566540 66201521 132403042 264806084 331007605 662015210 1324030420