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324430040 = 235112173943
BaseRepresentation
bin10011010101100…
…110100011011000
3211121110202100102
4103111212203120
51131023230130
652105354532
711016416114
oct2325464330
9747422312
10324430040
11157150100
1290798a48
13522a274c
1431132744
151d737645
hex135668d8

324430040 has 96 divisors (see below), whose sum is σ = 849774240. Its totient is φ = 111006720.

The previous prime is 324430033. The next prime is 324430063. The reversal of 324430040 is 40034423.

It is a happy number.

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 = 324429994 and 324430021.

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, 80309 + ... + 84251.

It is an arithmetic number, because the mean of its divisors is an integer number (8851815).

Almost surely, 2324430040 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 324430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424887120).

324430040 is an abundant number, since it is smaller than the sum of its proper divisors (525344200).

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

324430040 is a wasteful number, since it uses less digits than its factorization.

324430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3978 counting only the distinct ones).

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

The square root of 324430040 is about 18011.9415943979. The cubic root of 324430040 is about 687.1322833579.

Adding to 324430040 its reverse (40034423), we get a palindrome (364464463).

The spelling of 324430040 in words is "three hundred twenty-four million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1870 2057 2420 3740 3943 4114 4840 7480 7886 8228 10285 15772 16456 19715 20570 31544 39430 41140 43373 67031 78860 82280 86746 134062 157720 173492 216865 268124 335155 346984 433730 477103 536248 670310 737341 867460 954206 1340620 1474682 1734920 1908412 2385515 2681240 2949364 3686705 3816824 4771030 5898728 7373410 8110751 9542060 14746820 16221502 19084120 29493640 32443004 40553755 64886008 81107510 162215020 324430040