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330310112 = 25111098609
BaseRepresentation
bin10011101100000…
…010000111100000
3212000112111021212
4103230002013200
51134024410422
652435405252
711120406146
oct2354020740
9760474255
10330310112
1115a4a6970
1292753828
1353580c92
1431c23596
151dee99e2
hex13b021e0

330310112 has 48 divisors (see below), whose sum is σ = 716007600. Its totient is φ = 148746240.

The previous prime is 330310039. The next prime is 330310129. The reversal of 330310112 is 211013033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34064 + ... + 42672.

It is an arithmetic number, because the mean of its divisors is an integer number (14916825).

Almost surely, 2330310112 is an apocalyptic number.

330310112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358003800).

330310112 is an abundant number, since it is smaller than the sum of its proper divisors (385697488).

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

330310112 is a wasteful number, since it uses less digits than its factorization.

330310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8739 (or 8731 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 330310112 is about 18174.4356721192. The cubic root of 330310112 is about 691.2587203985.

Adding to 330310112 its reverse (211013033), we get a palindrome (541323145).

The spelling of 330310112 in words is "three hundred thirty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 176 218 352 436 872 1199 1744 2398 3488 4796 8609 9592 17218 19184 34436 38368 68872 94699 137744 189398 275488 378796 757592 938381 1515184 1876762 3030368 3753524 7507048 10322191 15014096 20644382 30028192 41288764 82577528 165155056 330310112