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329244384 = 2537975051
BaseRepresentation
bin10011100111111…
…101111011100000
3211221112100101110
4103213331323200
51133241310014
652400503320
711105350110
oct2347757340
9757470343
10329244384
111599391a7
129231ab40
1353299b81
1431a27040
151dd88d59
hex139fdee0

329244384 has 96 divisors (see below), whose sum is σ = 998113536. Its totient is φ = 93081600.

The previous prime is 329244361. The next prime is 329244401. The reversal of 329244384 is 483442923.

It is a happy number.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62659 + ... + 67709.

It is an arithmetic number, because the mean of its divisors is an integer number (10397016).

Almost surely, 2329244384 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 329244384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499056768).

329244384 is an abundant number, since it is smaller than the sum of its proper divisors (668869152).

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

329244384 is a wasteful number, since it uses less digits than its factorization.

329244384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5160 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 329244384 is about 18145.0925596978. The cubic root of 329244384 is about 690.5144829167.

The spelling of 329244384 in words is "three hundred twenty-nine million, two hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 291 336 388 582 672 679 776 1164 1358 1552 2037 2328 2716 3104 4074 4656 5051 5432 8148 9312 10102 10864 15153 16296 20204 21728 30306 32592 35357 40408 60612 65184 70714 80816 106071 121224 141428 161632 212142 242448 282856 424284 484896 489947 565712 848568 979894 1131424 1469841 1697136 1959788 2939682 3394272 3429629 3919576 5879364 6859258 7839152 10288887 11758728 13718516 15678304 20577774 23517456 27437032 41155548 47034912 54874064 82311096 109748128 164622192 329244384