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324448128 = 27321716567
BaseRepresentation
bin10011010101101…
…010111110000000
3211121111200011100
4103111222332000
51131024320003
652110014400
711016522624
oct2325527600
9747450140
10324448128
11157162754
12907a7400
13522aaa54
1431139184
151d73cba3
hex1356af80

324448128 has 96 divisors (see below), whose sum is σ = 988612560. Its totient is φ = 101781504.

The previous prime is 324448099. The next prime is 324448133. The reversal of 324448128 is 821844423.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 324448092 and 324448101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11301 + ... + 27867.

Almost surely, 2324448128 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 324448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494306280).

324448128 is an abundant number, since it is smaller than the sum of its proper divisors (664164432).

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

324448128 is a wasteful number, since it uses less digits than its factorization.

324448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16604 (or 16589 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 324448128 is about 18012.4436987323. The cubic root of 324448128 is about 687.1450530527.

The spelling of 324448128 in words is "three hundred twenty-four million, four hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 16567 19584 33134 49701 66268 99402 132536 149103 198804 265072 281639 298206 397608 530144 563278 596412 795216 844917 1060288 1126556 1192824 1590432 1689834 2120576 2253112 2385648 2534751 3180864 3379668 4506224 4771296 5069502 6361728 6759336 9012448 9542592 10139004 13518672 18024896 19085184 20278008 27037344 36049792 40556016 54074688 81112032 108149376 162224064 324448128