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329245296 = 243311731279
BaseRepresentation
bin10011100111111…
…110001001110000
3211221112101122020
4103213332021300
51133241322141
652400511440
711105352552
oct2347761160
9757471566
10329245296
11159939956
129231b580
135329a403
1431a274d2
151dd89266
hex139fe270

329245296 has 80 divisors (see below), whose sum is σ = 883752960. Its totient is φ = 105511680.

The previous prime is 329245271. The next prime is 329245297. The reversal of 329245296 is 692542923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329245297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256785 + ... + 258063.

It is an arithmetic number, because the mean of its divisors is an integer number (11046912).

Almost surely, 2329245296 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 329245296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441876480).

329245296 is an abundant number, since it is smaller than the sum of its proper divisors (554507664).

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

329245296 is a wasteful number, since it uses less digits than its factorization.

329245296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 329245296 is about 18145.1176904422. The cubic root of 329245296 is about 690.5151204863.

The spelling of 329245296 in words is "three hundred twenty-nine million, two hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 173 186 248 346 372 496 519 692 744 1038 1279 1384 1488 2076 2558 2768 3837 4152 5116 5363 7674 8304 10232 10726 15348 16089 20464 21452 30696 32178 39649 42904 61392 64356 79298 85808 118947 128712 158596 221267 237894 257424 317192 442534 475788 634384 663801 885068 951576 1327602 1770136 1903152 2655204 3540272 5310408 6859277 10620816 13718554 20577831 27437108 41155662 54874216 82311324 109748432 164622648 329245296