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320424030 = 232589109367
BaseRepresentation
bin10011000110010…
…100100001011110
3211022221020010200
4103012110201132
51124012032110
651443444330
710640362563
oct2306244136
9738836120
10320424030
11154964353
128b3866a6
13514cc224
14307ac86a
151d1e56c0
hex1319485e

320424030 has 96 divisors (see below), whose sum is σ = 852508800. Its totient is φ = 83483136.

The previous prime is 320424011. The next prime is 320424031. The reversal of 320424030 is 30424023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320423994 and 320424012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320424031) 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 47 ways as a sum of consecutive naturals, for example, 872907 + ... + 873273.

It is an arithmetic number, because the mean of its divisors is an integer number (8880300).

Almost surely, 2320424030 is an apocalyptic number.

320424030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320424030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426254400).

320424030 is an abundant number, since it is smaller than the sum of its proper divisors (532084770).

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

320424030 is a wasteful number, since it uses less digits than its factorization.

320424030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 320424030 is about 17900.3918951513. The cubic root of 320424030 is about 684.2923624496.

Adding to 320424030 its reverse (30424023), we get a palindrome (350848053).

The spelling of 320424030 in words is "three hundred twenty million, four hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 109 178 218 267 327 367 445 534 545 654 734 801 890 981 1090 1101 1335 1602 1635 1835 1962 2202 2670 3270 3303 3670 4005 4905 5505 6606 8010 9701 9810 11010 16515 19402 29103 32663 33030 40003 48505 58206 65326 80006 87309 97010 97989 120009 145515 163315 174618 195978 200015 240018 291030 293967 326630 360027 400030 436545 489945 587934 600045 720054 873090 979890 1200090 1469835 1800135 2939670 3560267 3600270 7120534 10680801 17801335 21361602 32042403 35602670 53404005 64084806 106808010 160212015 320424030