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329690336 = 2547223983
BaseRepresentation
bin10011101001101…
…010110011100000
3211222101000010012
4103221222303200
51133400042321
652414224052
711112215213
oct2351526340
9758330105
10329690336
1115a113258
12924b5028
13533c4b51
1431b0177a
151de2605b
hex13a6ace0

329690336 has 48 divisors (see below), whose sum is σ = 666537984. Its totient is φ = 160450944.

The previous prime is 329690329. The next prime is 329690353. The reversal of 329690336 is 633096923.

It is a junction number, because it is equal to n+sod(n) for n = 329690293 and 329690302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334901 + ... + 335883.

It is an arithmetic number, because the mean of its divisors is an integer number (13886208).

Almost surely, 2329690336 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 329690336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333268992).

329690336 is an abundant number, since it is smaller than the sum of its proper divisors (336847648).

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

329690336 is a wasteful number, since it uses less digits than its factorization.

329690336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 41.

The square root of 329690336 is about 18157.3769030661. The cubic root of 329690336 is about 690.8261029007.

The spelling of 329690336 in words is "three hundred twenty-nine million, six hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 94 188 223 376 446 752 892 983 1504 1784 1966 3568 3932 7136 7864 10481 15728 20962 31456 41924 46201 83848 92402 167696 184804 219209 335392 369608 438418 739216 876836 1478432 1753672 3507344 7014688 10302823 20605646 41211292 82422584 164845168 329690336