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329320416 = 25310693209
BaseRepresentation
bin10011101000010…
…000011111100000
3211221200012200110
4103220100133200
51133301223131
652402251320
711106114555
oct2350203740
9757605613
10329320416
11159990337
1292356b40
13532c5669
1431a46a2c
151dda1646
hex13a107e0

329320416 has 48 divisors (see below), whose sum is σ = 865544400. Its totient is φ = 109636608.

The previous prime is 329320373. The next prime is 329320423. The reversal of 329320416 is 614023923.

329320416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 101020 + ... + 104228.

It is an arithmetic number, because the mean of its divisors is an integer number (18032175).

Almost surely, 2329320416 is an apocalyptic number.

It is an amenable number.

329320416 is an abundant number, since it is smaller than the sum of its proper divisors (536223984).

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

329320416 is a wasteful number, since it uses less digits than its factorization.

329320416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 329320416 is about 18147.1875506923. The cubic root of 329320416 is about 690.5676320454.

The spelling of 329320416 in words is "three hundred twenty-nine million, three hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1069 2138 3207 3209 4276 6414 6418 8552 9627 12828 12836 17104 19254 25656 25672 34208 38508 51312 51344 77016 102624 102688 154032 308064 3430421 6860842 10291263 13721684 20582526 27443368 41165052 54886736 82330104 109773472 164660208 329320416