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329896 = 23743137
BaseRepresentation
bin1010000100010101000
3121202112101
41100202220
541024041
611023144
72542540
oct1204250
9552471
10329896
11205946
1213aab4
13b7208
1488320
1567b31
hex508a8

329896 has 32 divisors (see below), whose sum is σ = 728640. Its totient is φ = 137088.

The previous prime is 329891. The next prime is 329899. The reversal of 329896 is 698923.

329896 = T41 + T42 + ... + T126.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (329891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2340 + ... + 2476.

It is an arithmetic number, because the mean of its divisors is an integer number (22770).

2329896 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 329896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364320).

329896 is an abundant number, since it is smaller than the sum of its proper divisors (398744).

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

329896 is a wasteful number, since it uses less digits than its factorization.

329896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 329896 is about 574.3657371397. The cubic root of 329896 is about 69.0969721029.

It can be divided in two parts, 329 and 896, that added together give a triangular number (1225 = T49).

The spelling of 329896 in words is "three hundred twenty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 43 56 86 137 172 274 301 344 548 602 959 1096 1204 1918 2408 3836 5891 7672 11782 23564 41237 47128 82474 164948 329896