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3416810496 = 210311101113
BaseRepresentation
bin1100101110101000…
…0110010000000000
322211010022221211220
43023222012100000
523444200413441
61323014035040
7150446260431
oct31352062000
98733287756
103416810496
1114a3778330
127b4348a80
13425b60578
14245b05488
1514ee78466
hexcba86400

3416810496 has 88 divisors (see below), whose sum is σ = 9935057184. Its totient is φ = 1035386880.

The previous prime is 3416810443. The next prime is 3416810497. The reversal of 3416810496 is 6940186143.

It is a tau number, because it is divible by the number of its divisors (88).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3416810497) by changing a digit.

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, 16765 + ... + 84348.

Almost surely, 23416810496 is an apocalyptic number.

It is an amenable number.

3416810496 is an abundant number, since it is smaller than the sum of its proper divisors (6518246688).

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

3416810496 is a wasteful number, since it uses less digits than its factorization.

3416810496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101147 (or 101129 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3416810496 is about 58453.4900241209. The cubic root of 3416810496 is about 1506.1687438453.

The spelling of 3416810496 in words is "three billion, four hundred sixteen million, eight hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 16896 33792 101113 202226 303339 404452 606678 808904 1112243 1213356 1617808 2224486 2426712 3235616 3336729 4448972 4853424 6471232 6673458 8897944 9706848 12942464 13346916 17795888 19413696 25884928 26693832 35591776 38827392 51769856 53387664 71183552 77654784 103539712 106775328 142367104 155309568 213550656 284734208 310619136 427101312 569468416 854202624 1138936832 1708405248 3416810496