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1324564340 = 2251147532417
BaseRepresentation
bin100111011110011…
…0011111101110100
310102022101211200112
41032330303331310
510203042024330
6335234002152
744552416421
oct11674637564
93368354615
101324564340
1161a755880
1230b716358
13181558aa8
14c7cb6d48
157b443795
hex4ef33f74

1324564340 has 96 divisors (see below), whose sum is σ = 3158797824. Its totient is φ = 462325760.

The previous prime is 1324564321. The next prime is 1324564421. The reversal of 1324564340 is 434654231.

It is a junction number, because it is equal to n+sod(n) for n = 1324564297 and 1324564306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546812 + ... + 549228.

It is an arithmetic number, because the mean of its divisors is an integer number (32904144).

Almost surely, 21324564340 is an apocalyptic number.

1324564340 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 1324564340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579398912).

1324564340 is an abundant number, since it is smaller than the sum of its proper divisors (1834233484).

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

1324564340 is a wasteful number, since it uses less digits than its factorization.

1324564340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 1324564340 is about 36394.5647040873. The cubic root of 1324564340 is about 1098.2242257479.

The spelling of 1324564340 in words is "one billion, three hundred twenty-four million, five hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 53 55 94 106 110 188 212 220 235 265 470 517 530 583 940 1034 1060 1166 2068 2332 2417 2491 2585 2915 4834 4982 5170 5830 9668 9964 10340 11660 12085 12455 24170 24910 26587 27401 48340 49820 53174 54802 106348 109604 113599 128101 132935 137005 227198 256202 265870 274010 454396 512404 531740 548020 567995 640505 1135990 1249589 1281010 1409111 2271980 2499178 2562020 2818222 4998356 5636444 6020747 6247945 7045555 12041494 12495890 14091110 24082988 24991780 28182220 30103735 60207470 66228217 120414940 132456434 264912868 331141085 662282170 1324564340