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324345320 = 235132332677
BaseRepresentation
bin10011010101010…
…001110111101000
3211121022110010122
4103111101313220
51131013022240
652103502412
711015614115
oct2325216750
9747273118
10324345320
111570a2492
1290757a08
1352273010
143110d90c
151d71c4b5
hex13551de8

324345320 has 64 divisors (see below), whose sum is σ = 789581520. Its totient is φ = 119199744.

The previous prime is 324345299. The next prime is 324345341. The reversal of 324345320 is 23543423.

It is an interprime number because it is at equal distance from previous prime (324345299) and next prime (324345341).

It can be written as a sum of positive squares in 8 ways, for example, as 417316 + 323928004 = 646^2 + 17998^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 324345320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119822 + ... + 122498.

Almost surely, 2324345320 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 324345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394790760).

324345320 is an abundant number, since it is smaller than the sum of its proper divisors (465236200).

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

324345320 is a wasteful number, since it uses less digits than its factorization.

324345320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 324345320 is about 18009.5896677298. The cubic root of 324345320 is about 687.0724667485.

Adding to 324345320 its reverse (23543423), we get a palindrome (347888743).

The spelling of 324345320 in words is "three hundred twenty-four million, three hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 233 260 466 520 932 1165 1864 2330 2677 3029 4660 5354 6058 9320 10708 12116 13385 15145 21416 24232 26770 30290 34801 53540 60580 69602 107080 121160 139204 174005 278408 348010 623741 696020 1247482 1392040 2494964 3118705 4989928 6237410 8108633 12474820 16217266 24949640 32434532 40543165 64869064 81086330 162172660 324345320