Search a number
-
+
329188380 = 223531176983
BaseRepresentation
bin10011100111110…
…000010000011100
3211221102111120020
4103213300100130
51133233012010
652355352140
711105024613
oct2347602034
9757374506
10329188380
11159900114
12922b2650
135327a531
1431a1087a
151dd77470
hex139f041c

329188380 has 48 divisors (see below), whose sum is σ = 951465984. Its totient is φ = 84951360.

The previous prime is 329188369. The next prime is 329188399. The reversal of 329188380 is 83881923.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86632 + ... + 90351.

It is an arithmetic number, because the mean of its divisors is an integer number (19822208).

Almost surely, 2329188380 is an apocalyptic number.

329188380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329188380 is an abundant number, since it is smaller than the sum of its proper divisors (622277604).

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

329188380 is a wasteful number, since it uses less digits than its factorization.

329188380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177026 (or 177024 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 329188380 is about 18143.5492668882. The cubic root of 329188380 is about 690.4753288538.

The spelling of 329188380 in words is "three hundred twenty-nine million, one hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 176983 353966 530949 707932 884915 1061898 1769830 2123796 2654745 3539660 5309490 5486473 10618980 10972946 16459419 21945892 27432365 32918838 54864730 65837676 82297095 109729460 164594190 329188380