Search a number
-
+
332948 = 227112347
BaseRepresentation
bin1010001010010010100
3121220201102
41101102110
541123243
611045232
72554460
oct1212224
9556642
10332948
11208170
12140818
13b8715
14894a0
15689b8
hex51494

332948 has 48 divisors (see below), whose sum is σ = 774144. Its totient is φ = 121440.

The previous prime is 332947. The next prime is 332951. The reversal of 332948 is 849233.

It is a super-2 number, since 2×3329482 = 221708741408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 332948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7061 + ... + 7107.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2332948 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 332948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

332948 is an abundant number, since it is smaller than the sum of its proper divisors (441196).

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

332948 is a wasteful number, since it uses less digits than its factorization.

332948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 332948 is about 577.0164642365. The cubic root of 332948 is about 69.3093996122.

The spelling of 332948 in words is "three hundred thirty-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 47 77 92 94 154 161 188 253 308 322 329 506 517 644 658 1012 1034 1081 1316 1771 2068 2162 3542 3619 4324 7084 7238 7567 11891 14476 15134 23782 30268 47564 83237 166474 332948