Search a number
-
+
329219380 = 22573122447
BaseRepresentation
bin10011100111110…
…111110100110100
3211221111002002101
4103213313310310
51133240010010
652400151444
711105214160
oct2347676464
9757432071
10329219380
11159921436
1292308584
135328b689
1431a1bca0
151dd8173a
hex139f7d34

329219380 has 72 divisors (see below), whose sum is σ = 816770304. Its totient is φ = 109189440.

The previous prime is 329219369. The next prime is 329219489. The reversal of 329219380 is 83912923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133317 + ... + 135763.

It is an arithmetic number, because the mean of its divisors is an integer number (11344032).

Almost surely, 2329219380 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 329219380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408385152).

329219380 is an abundant number, since it is smaller than the sum of its proper divisors (487550924).

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

329219380 is a wasteful number, since it uses less digits than its factorization.

329219380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2492 counting only the distinct ones).

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

The square root of 329219380 is about 18144.4035448950. The cubic root of 329219380 is about 690.4970024250.

The spelling of 329219380 in words is "three hundred twenty-nine million, two hundred nineteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 961 1085 1922 2170 2447 3844 4340 4805 4894 6727 9610 9788 12235 13454 17129 19220 24470 26908 33635 34258 48940 67270 68516 75857 85645 134540 151714 171290 303428 342580 379285 530999 758570 1061998 1517140 2123996 2351567 2654995 4703134 5309990 9406268 10619980 11757835 16460969 23515670 32921938 47031340 65843876 82304845 164609690 329219380