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331140330 = 23256160317
BaseRepresentation
bin10011101111001…
…100110011101010
3212002002200010200
4103233030303222
51134232442310
652505253030
711130434463
oct2357146352
9762080120
10331140330
1115aa136a4
1292a94176
13537b1b31
1431d9bd6a
151e1109c0
hex13bcccea

331140330 has 48 divisors (see below), whose sum is σ = 875093544. Its totient is φ = 86855040.

The previous prime is 331140319. The next prime is 331140349. The reversal of 331140330 is 33041133.

331140330 is a `hidden beast` number, since 331 + 1 + 4 + 0 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64112049 + 267028281 = 8007^2 + 16341^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24669 + ... + 35648.

Almost surely, 2331140330 is an apocalyptic number.

331140330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331140330 is an abundant number, since it is smaller than the sum of its proper divisors (543953214).

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

331140330 is a wasteful number, since it uses less digits than its factorization.

331140330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60391 (or 60388 counting only the distinct ones).

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

The square root of 331140330 is about 18197.2616071760. The cubic root of 331140330 is about 691.8373839661.

Adding to 331140330 its reverse (33041133), we get a palindrome (364181463).

The spelling of 331140330 in words is "three hundred thirty-one million, one hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 60317 120634 180951 301585 361902 542853 603170 904755 1085706 1809510 2714265 3679337 5428530 7358674 11038011 18396685 22076022 33114033 36793370 55190055 66228066 110380110 165570165 331140330