Search a number
-
+
329079648 = 2533427913
BaseRepresentation
bin10011100111010…
…101101101100000
3211221012222102010
4103213111231200
51133221022043
652353152520
711104062612
oct2347255540
9757188363
10329079648
11159836457
129225b740
135323cbb1
14319c2db2
151dd55133
hex139d5b60

329079648 has 24 divisors (see below), whose sum is σ = 863834328. Its totient is φ = 109693184.

The previous prime is 329079631. The next prime is 329079649. The reversal of 329079648 is 846970923.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 329079597 and 329079606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329079649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1713861 + ... + 1714052.

It is an arithmetic number, because the mean of its divisors is an integer number (35993097).

Almost surely, 2329079648 is an apocalyptic number.

It is an amenable number.

329079648 is an abundant number, since it is smaller than the sum of its proper divisors (534754680).

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

329079648 is a wasteful number, since it uses less digits than its factorization.

329079648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427926 (or 3427918 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 329079648 is about 18140.5525825428. The cubic root of 329079648 is about 690.3992983947.

The spelling of 329079648 in words is "three hundred twenty-nine million, seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3427913 6855826 10283739 13711652 20567478 27423304 41134956 54846608 82269912 109693216 164539824 329079648