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327979344 = 24373111811
BaseRepresentation
bin10011100011001…
…001000101010000
3211212011002002010
4103203021011100
51132430314334
652313422520
711061531000
oct2343110520
9755132063
10327979344
11159154810
1291a0aa40
1352c46124
14317b8000
151dbd90e9
hex138c9150

327979344 has 160 divisors (see below), whose sum is σ = 1078502400. Its totient is φ = 85142400.

The previous prime is 327979343. The next prime is 327979367. The reversal of 327979344 is 443979723.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 327979293 and 327979302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327979343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180199 + ... + 182009.

It is an arithmetic number, because the mean of its divisors is an integer number (6740640).

Almost surely, 2327979344 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 327979344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539251200).

327979344 is an abundant number, since it is smaller than the sum of its proper divisors (750523056).

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

327979344 is a wasteful number, since it uses less digits than its factorization.

327979344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1834 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The square root of 327979344 is about 18110.1999988956. The cubic root of 327979344 is about 689.6289708671.

The spelling of 327979344 in words is "three hundred twenty-seven million, nine hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 343 392 462 528 539 588 616 686 784 924 1029 1078 1176 1232 1372 1617 1811 1848 2058 2156 2352 2744 3234 3622 3696 3773 4116 4312 5433 5488 6468 7244 7546 8232 8624 10866 11319 12677 12936 14488 15092 16464 19921 21732 22638 25354 25872 28976 30184 38031 39842 43464 45276 50708 59763 60368 76062 79684 86928 88739 90552 101416 119526 139447 152124 159368 177478 181104 202832 239052 266217 278894 304248 318736 354956 418341 478104 532434 557788 608496 621173 709912 836682 956208 976129 1064868 1115576 1242346 1419824 1673364 1863519 1952258 2129736 2231152 2484692 2928387 3346728 3727038 3904516 4259472 4969384 5856774 6693456 6832903 7454076 7809032 9938768 11713548 13665806 14908152 15618064 20498709 23427096 27331612 29816304 40997418 46854192 54663224 81994836 109326448 163989672 327979344