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324386940 = 223523313751
BaseRepresentation
bin10011010101011…
…100000001111100
3211121101120020010
4103111130001330
51131020340230
652104423220
711016146343
oct2325340174
9747346203
10324386940
11157120789
1290777b10
1352288c47
1431120b5a
151d7299b0
hex1355c07c

324386940 has 96 divisors (see below), whose sum is σ = 952068096. Its totient is φ = 82368000.

The previous prime is 324386939. The next prime is 324386947. The reversal of 324386940 is 49683423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324386947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431565 + ... + 432315.

It is an arithmetic number, because the mean of its divisors is an integer number (9917376).

Almost surely, 2324386940 is an apocalyptic number.

324386940 is a gapful number since it is divisible by the number (30) 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 324386940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476034048).

324386940 is an abundant number, since it is smaller than the sum of its proper divisors (627681156).

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

324386940 is a wasteful number, since it uses less digits than its factorization.

324386940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 324386940 is about 18010.7451261740. The cubic root of 324386940 is about 687.1018538772.

The spelling of 324386940 in words is "three hundred twenty-four million, three hundred eighty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 313 345 460 626 690 751 939 1252 1380 1502 1565 1878 2253 3004 3130 3755 3756 4506 4695 6260 7199 7510 9012 9390 11265 14398 15020 17273 18780 21597 22530 28796 34546 35995 43194 45060 51819 69092 71990 86365 86388 103638 107985 143980 172730 207276 215970 235063 259095 345460 431940 470126 518190 705189 940252 1036380 1175315 1410378 2350630 2820756 3525945 4701260 5406449 7051890 10812898 14103780 16219347 21625796 27032245 32438694 54064490 64877388 81096735 108128980 162193470 324386940