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329416705 = 5263397631
BaseRepresentation
bin10011101000101…
…000000000000001
3211221212002202201
4103220220000001
51133312313310
652404313201
711106665362
oct2350500001
9757762681
10329416705
11159a46712
12923a2801
135332a437
1431a6db69
151ddbee3a
hex13a28001

329416705 has 16 divisors (see below), whose sum is σ = 398433024. Its totient is φ = 261455040.

The previous prime is 329416697. The next prime is 329416709. The reversal of 329416705 is 507614923.

It is not a de Polignac number, because 329416705 - 23 = 329416697 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329416709) 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, 521740 + ... + 522370.

It is an arithmetic number, because the mean of its divisors is an integer number (24902064).

It is a Proth number, since it is equal to 10053 ⋅ 215 + 1 and 10053 < 215.

Almost surely, 2329416705 is an apocalyptic number.

It is an amenable number.

329416705 is a deficient number, since it is larger than the sum of its proper divisors (69016319).

329416705 is a wasteful number, since it uses less digits than its factorization.

329416705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 329416705 is about 18149.8403574246. The cubic root of 329416705 is about 690.6349298136.

The spelling of 329416705 in words is "three hundred twenty-nine million, four hundred sixteen thousand, seven hundred five".

Divisors: 1 5 263 397 631 1315 1985 3155 104411 165953 250507 522055 829765 1252535 65883341 329416705