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330240132 = 223312724077
BaseRepresentation
bin10011101011110…
…001000010000100
3212000101221022000
4103223301002010
51134020141012
652434105300
711116665135
oct2353610204
9760357260
10330240132
1115a459332
129271b230
1353558181
1431c05c8c
151ded3ddc
hex13af1084

330240132 has 48 divisors (see below), whose sum is σ = 862955520. Its totient is φ = 109208736.

The previous prime is 330240103. The next prime is 330240149. The reversal of 330240132 is 231042033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1678 + ... + 25754.

It is an arithmetic number, because the mean of its divisors is an integer number (17978240).

Almost surely, 2330240132 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 330240132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431477760).

330240132 is an abundant number, since it is smaller than the sum of its proper divisors (532715388).

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

330240132 is a wasteful number, since it uses less digits than its factorization.

330240132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24217 (or 24209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330240132 is about 18172.5103384205. The cubic root of 330240132 is about 691.2098999113.

Adding to 330240132 its reverse (231042033), we get a palindrome (561282165).

It can be divided in two parts, 3302 and 40132, that added together give a palindrome (43434).

The spelling of 330240132 in words is "three hundred thirty million, two hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 3429 4572 6858 13716 24077 48154 72231 96308 144462 216693 288924 433386 650079 866772 1300158 2600316 3057779 6115558 9173337 12231116 18346674 27520011 36693348 55040022 82560033 110080044 165120066 330240132