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345656887668 = 2232191371136857
BaseRepresentation
bin1010000011110101100…
…00011000100101110100
31020001012102102020021200
411001322300120211310
521130401130401133
6422443110412500
733654462032121
oct5017260304564
91201172366250
10345656887668
11123657335814
1256ba7961130
1326797b65a81
1412a30b25748
158ed0b05913
hex507ac18974

345656887668 has 72 divisors (see below), whose sum is σ = 919822350720. Its totient is φ = 109143884160.

The previous prime is 345656887643. The next prime is 345656887669. The reversal of 345656887668 is 866788656543.

345656887668 is a `hidden beast` number, since 3 + 4 + 56 + 568 + 8 + 7 + 6 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345656887596 and 345656887605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345656887669) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9359896 + ... + 9396752.

Almost surely, 2345656887668 is an apocalyptic number.

345656887668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

345656887668 is an abundant number, since it is smaller than the sum of its proper divisors (574165463052).

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

345656887668 is a wasteful number, since it uses less digits than its factorization.

345656887668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50597 (or 50592 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 345656887668 in words is "three hundred forty-five billion, six hundred fifty-six million, eight hundred eighty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 13711 27422 36857 41133 54844 73714 82266 110571 123399 147428 164532 221142 246798 260509 331713 442284 493596 521018 663426 700283 781527 1042036 1326852 1400566 1563054 2100849 2344581 2801132 3126108 4201698 4689162 6302547 8403396 9378324 12605094 25210188 505346327 1010692654 1516038981 2021385308 3032077962 4548116943 6064155924 9096233886 9601580213 18192467772 19203160426 28804740639 38406320852 57609481278 86414221917 115218962556 172828443834 345656887668