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332130312 = 23324612921
BaseRepresentation
bin10011110010111…
…110100000001000
3212010221222010200
4103302332200020
51140011132222
652542412200
711142026643
oct2362764010
9763858120
10332130312
1116052a468
1293291060
1353a6a617
1432178a5a
151e258eac
hex13cbe808

332130312 has 24 divisors (see below), whose sum is σ = 899519790. Its totient is φ = 110710080.

The previous prime is 332130307. The next prime is 332130313. The reversal of 332130312 is 213031233.

332130312 is a `hidden beast` number, since 3 + 321 + 30 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 317338596 + 14791716 = 17814^2 + 3846^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3321303122 = 220621088298434688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332130313) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2306389 + ... + 2306532.

Almost surely, 2332130312 is an apocalyptic number.

It is an amenable number.

332130312 is an abundant number, since it is smaller than the sum of its proper divisors (567389478).

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

332130312 is a wasteful number, since it uses less digits than its factorization.

332130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612933 (or 4612926 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 332130312 is about 18224.4427075288. The cubic root of 332130312 is about 692.5261404548.

Adding to 332130312 its reverse (213031233), we get a palindrome (545161545).

It can be divided in two parts, 3321 and 30312, that added together give a palindrome (33633).

The spelling of 332130312 in words is "three hundred thirty-two million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4612921 9225842 13838763 18451684 27677526 36903368 41516289 55355052 83032578 110710104 166065156 332130312