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3482144424 = 2333111465549
BaseRepresentation
bin1100111110001101…
…0100111010101000
322222200021021011000
43033203110322220
524112412110144
61333310235000
7152201511363
oct31743247250
98880237130
103482144424
111527641710
128121b5a60
134365572b5
142506710da
15155a81769
hexcf8d4ea8

3482144424 has 64 divisors (see below), whose sum is σ = 10551960000. Its totient is φ = 1055194560.

The previous prime is 3482144417. The next prime is 3482144443. The reversal of 3482144424 is 4244412843.

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 730399 + ... + 735150.

It is an arithmetic number, because the mean of its divisors is an integer number (164874375).

Almost surely, 23482144424 is an apocalyptic number.

It is an amenable number.

3482144424 is an abundant number, since it is smaller than the sum of its proper divisors (7069815576).

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

3482144424 is a wasteful number, since it uses less digits than its factorization.

3482144424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465575 (or 1465565 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 3482144424 is about 59009.6977114779. The cubic root of 3482144424 is about 1515.7081759258.

The spelling of 3482144424 in words is "three billion, four hundred eighty-two million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 1465549 2931098 4396647 5862196 8793294 11724392 13189941 16121039 17586588 26379882 32242078 35173176 39569823 48363117 52759764 64484156 79139646 96726234 105519528 128968312 145089351 158279292 193452468 290178702 316558584 386904936 435268053 580357404 870536106 1160714808 1741072212 3482144424