Search a number
-
+
329121923 = 1321947467
BaseRepresentation
bin10011100111100…
…000000010000011
3211221022010101212
4103213200002003
51133223400143
652354120335
711104330064
oct2347400203
9757263355
10329121923
11159865199
12922800ab
1353256200
14319d456b
151dd62918
hex139e0083

329121923 has 6 divisors (see below), whose sum is σ = 356386644. Its totient is φ = 303804696.

The previous prime is 329121917. The next prime is 329121931.

329121923 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 329121923 - 24 = 329121907 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 329121923.

It is not an unprimeable number, because it can be changed into a prime (329121913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 973565 + ... + 973902.

It is an arithmetic number, because the mean of its divisors is an integer number (59397774).

Almost surely, 2329121923 is an apocalyptic number.

329121923 is a deficient number, since it is larger than the sum of its proper divisors (27264721).

329121923 is a wasteful number, since it uses less digits than its factorization.

329121923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947493 (or 1947480 counting only the distinct ones).

The product of its digits is 5832, while the sum is 32.

The square root of 329121923 is about 18141.7177521865. The cubic root of 329121923 is about 690.4288610257.

The spelling of 329121923 in words is "three hundred twenty-nine million, one hundred twenty-one thousand, nine hundred twenty-three".

Divisors: 1 13 169 1947467 25317071 329121923