Search a number
-
+
330182532 = 2232192412003
BaseRepresentation
bin10011101011100…
…010111110000100
3212000022000021200
4103223202332010
51134011320112
652432542500
711116335201
oct2353427604
9760260250
10330182532
1115a41a029
12926b1a30
1353537ba4
1431bccca8
151dec1cdc
hex13ae2f84

330182532 has 72 divisors (see below), whose sum is σ = 882641760. Its totient is φ = 103783680.

The previous prime is 330182459. The next prime is 330182533. The reversal of 330182532 is 235281033.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 330182496 and 330182505.

It is not an unprimeable number, because it can be changed into a prime (330182533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163843 + ... + 165845.

Almost surely, 2330182532 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 330182532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441320880).

330182532 is an abundant number, since it is smaller than the sum of its proper divisors (552459228).

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

330182532 is a wasteful number, since it uses less digits than its factorization.

330182532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 330182532 is about 18170.9254579947. The cubic root of 330182532 is about 691.1697109686.

The spelling of 330182532 in words is "three hundred thirty million, one hundred eighty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 241 342 482 684 723 964 1446 2003 2169 2892 4006 4338 4579 6009 8012 8676 9158 12018 13737 18027 18316 24036 27474 36054 38057 41211 54948 72108 76114 82422 114171 152228 164844 228342 342513 456684 482723 685026 965446 1370052 1448169 1930892 2896338 4344507 5792676 8689014 9171737 17378028 18343474 27515211 36686948 55030422 82545633 110060844 165091266 330182532