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323204420 = 225711297237
BaseRepresentation
bin10011010000111…
…011010101000100
3211112011111010002
4103100323111010
51130220020140
652023220432
711003122640
oct2320732504
9745144102
10323204420
111564932a0
12902a7718
1351c63926
1430cd3c20
151d594415
hex1343b544

323204420 has 96 divisors (see below), whose sum is σ = 875508480. Its totient is φ = 97251840.

The previous prime is 323204359. The next prime is 323204423. The reversal of 323204420 is 24402323.

It is a super-2 number, since 2×3232044202 = 208922194215072800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 323204392 and 323204401.

It is not an unprimeable number, because it can be changed into a prime (323204423) 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 31 ways as a sum of consecutive naturals, for example, 41042 + ... + 48278.

It is an arithmetic number, because the mean of its divisors is an integer number (9119880).

Almost surely, 2323204420 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 323204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437754240).

323204420 is an abundant number, since it is smaller than the sum of its proper divisors (552304060).

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

323204420 is a wasteful number, since it uses less digits than its factorization.

323204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 323204420 is about 17977.8869726117. The cubic root of 323204420 is about 686.2659170188.

Adding to 323204420 its reverse (24402323), we get a palindrome (347606743).

The spelling of 323204420 in words is "three hundred twenty-three million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 6380 7237 8932 11165 14474 22330 28948 36185 44660 50659 72370 79607 101318 144740 159214 202636 209873 253295 318428 398035 419746 506590 557249 796070 839492 1013180 1049365 1114498 1469111 1592140 2098730 2228996 2308603 2786245 2938222 4197460 4617206 5572490 5876444 7345555 9234412 11144980 11543015 14691110 16160221 23086030 29382220 32320442 46172060 64640884 80801105 161602210 323204420