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3032024192 = 273121572
BaseRepresentation
bin1011010010111001…
…0000010010000000
321211022021210021022
42310232100102000
522202144233232
61220510445012
7135064531451
oct26456202200
97738253238
103032024192
11131655371a
12707503768
13394217972
1420a981128
1512b2bc812
hexb4b90480

3032024192 has 72 divisors (see below), whose sum is σ = 6281504505. Its totient is φ = 1457763840.

The previous prime is 3032024189. The next prime is 3032024201. The reversal of 3032024192 is 2914202303.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2896161856 + 135862336 = 53816^2 + 11656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=38936.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 19312178 + ... + 19312334.

Almost surely, 23032024192 is an apocalyptic number.

3032024192 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 3032024192

3032024192 is an abundant number, since it is smaller than the sum of its proper divisors (3249480313).

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

3032024192 is an frugal number, since it uses more digits than its factorization.

3032024192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3032024192 is about 55063.8192645588. The cubic root of 3032024192 is about 1447.3632926117.

Multiplying 3032024192 by its product of nonzero digits (2592), we get a square (7859006705664 = 28033922).

Adding to 3032024192 its reverse (2914202303), we get a palindrome (5946226495).

The spelling of 3032024192 in words is "three billion, thirty-two million, twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 157 248 314 496 628 961 992 1256 1922 1984 2512 3844 3968 4867 5024 7688 9734 10048 15376 19468 20096 24649 30752 38936 49298 61504 77872 98596 123008 150877 155744 197192 301754 311488 394384 603508 622976 764119 788768 1207016 1528238 1577536 2414032 3056476 3155072 4828064 6112952 9656128 12225904 19312256 23687689 24451808 47375378 48903616 94750756 97807232 189501512 379003024 758006048 1516012096 3032024192