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329374133346 = 231831292710243
BaseRepresentation
bin1001100101100000011…
…10100110110001100010
31011111011122112121110210
410302300032212301202
520344024234231341
6411151250434550
732540124640146
oct4626016466142
91144148477423
10329374133346
11117761125465
1253a02892a56
13250a163c5bb
1411d283cd226
15887b3aac16
hex4cb03a6c62

329374133346 has 32 divisors (see below), whose sum is σ = 659397593088. Its totient is φ = 109683216720.

The previous prime is 329374133329. The next prime is 329374133369. The reversal of 329374133346 is 643331473923.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 329374133295 and 329374133304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32150901 + ... + 32161143.

It is an arithmetic number, because the mean of its divisors is an integer number (20606174784).

Almost surely, 2329374133346 is an apocalyptic number.

329374133346 is an abundant number, since it is smaller than the sum of its proper divisors (330023459742).

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

329374133346 is a wasteful number, since it uses less digits than its factorization.

329374133346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15006.

The product of its digits is 2939328, while the sum is 48.

The spelling of 329374133346 in words is "three hundred twenty-nine billion, three hundred seventy-four million, one hundred thirty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 1831 2927 3662 5493 5854 8781 10243 10986 17562 20486 30729 61458 5359337 10718674 16078011 18754933 29981261 32156022 37509866 56264799 59962522 89943783 112529598 179887566 54895688891 109791377782 164687066673 329374133346