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324314928 = 2434725107
BaseRepresentation
bin10011010101001…
…010011100110000
3211121020220110000
4103111022130300
51131011034203
652103110000
711015426400
oct2325123460
9747226400
10324314928
11157081673
1290742300
1352262232
1431102800
151d7134a3
hex1354a730

324314928 has 150 divisors (see below), whose sum is σ = 1092126156. Its totient is φ = 92643264.

The previous prime is 324314923. The next prime is 324314951. The reversal of 324314928 is 829413423.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 324314892 and 324314901.

It is not an unprimeable number, because it can be changed into a prime (324314923) 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 29 ways as a sum of consecutive naturals, for example, 60951 + ... + 66057.

Almost surely, 2324314928 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 324314928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546063078).

324314928 is an abundant number, since it is smaller than the sum of its proper divisors (767811228).

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

324314928 is a wasteful number, since it uses less digits than its factorization.

324314928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5119 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 324314928 is about 18008.7458752685. The cubic root of 324314928 is about 687.0510059191.

The spelling of 324314928 in words is "three hundred twenty-four million, three hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5107 5292 7056 7938 9072 10214 10584 15321 15876 20428 21168 30642 31752 35749 40856 45963 61284 63504 71498 81712 91926 107247 122568 137889 142996 183852 214494 245136 250243 275778 285992 321741 367704 413667 428988 500486 551556 571984 643482 735408 750729 827334 857976 965223 1000972 1103112 1286964 1501458 1654668 1715952 1930446 2001944 2206224 2252187 2573928 2895669 3002916 3309336 3860892 4003888 4504374 5147856 5791338 6005832 6618672 6756561 7721784 9008748 11582676 12011664 13513122 15443568 18017496 20269683 23165352 27026244 36034992 40539366 46330704 54052488 81078732 108104976 162157464 324314928