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330492672 = 2832143443
BaseRepresentation
bin10011101100101…
…110101100000000
3212000212202201100
4103230232230000
51134101231142
652443334400
711122066326
oct2354565400
9760782640
10330492672
1115a611044
1292821400
13536160c3
1431c6dd16
151e033b4c
hex13b2eb00

330492672 has 54 divisors (see below), whose sum is σ = 952898492. Its totient is φ = 110163456.

The previous prime is 330492649. The next prime is 330492691. The reversal of 330492672 is 276294033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 69418 + ... + 74025.

Almost surely, 2330492672 is an apocalyptic number.

330492672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330492672 is an abundant number, since it is smaller than the sum of its proper divisors (622405820).

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

330492672 is a wasteful number, since it uses less digits than its factorization.

330492672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143465 (or 143448 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 330492672 is about 18179.4574176459. The cubic root of 330492672 is about 691.3860481685.

It can be divided in two parts, 33049 and 2672, that added together give a square (35721 = 1892).

The spelling of 330492672 in words is "three hundred thirty million, four hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 143443 286886 430329 573772 860658 1147544 1290987 1721316 2295088 2581974 3442632 4590176 5163948 6885264 9180352 10327896 13770528 18360704 20655792 27541056 36721408 41311584 55082112 82623168 110164224 165246336 330492672