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3213738416 = 247254911257
BaseRepresentation
bin1011111110001101…
…1100000110110000
322021222012211022202
42333203130012300
523040204112131
61250521322332
7142432216520
oct27743340660
98258184282
103213738416
1113aa087269
127583363a8
133c2a6bb85
14226b63680
1513c213bcb
hexbf8dc1b0

3213738416 has 40 divisors (see below), whose sum is σ = 7119559200. Its totient is φ = 1376653824.

The previous prime is 3213738403. The next prime is 3213738431. The reversal of 3213738416 is 6148373123.

It is a super-2 number, since 2×32137384162 = 20656229212948378112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3213738416.

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 7 ways as a sum of consecutive naturals, for example, 279860 + ... + 291116.

It is an arithmetic number, because the mean of its divisors is an integer number (177988980).

Almost surely, 23213738416 is an apocalyptic number.

It is an amenable number.

3213738416 is an abundant number, since it is smaller than the sum of its proper divisors (3905820784).

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

3213738416 is a wasteful number, since it uses less digits than its factorization.

3213738416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13821 (or 13815 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 3213738416 is about 56689.8440287147. The cubic root of 3213738416 is about 1475.7184535559.

The spelling of 3213738416 in words is "three billion, two hundred thirteen million, seven hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 2549 5098 10196 11257 17843 20392 22514 35686 40784 45028 71372 78799 90056 142744 157598 180112 285488 315196 630392 1260784 28694093 57388186 114776372 200858651 229552744 401717302 459105488 803434604 1606869208 3213738416