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3419005996 = 2271931379547
BaseRepresentation
bin1100101111001001…
…1110010000101100
322211021110111111201
43023302132100230
524000231142441
61323133055244
7150504033340
oct31362362054
98737414451
103419005996
1114a4a3789a
127b5027524
1342644b993
14246117620
1515025dc31
hexcbc9e42c

3419005996 has 96 divisors (see below), whose sum is σ = 7463321600. Its totient is φ = 1337394240.

The previous prime is 3419005963. The next prime is 3419006009. The reversal of 3419005996 is 6995009143.

3419005996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6250195 + ... + 6250741.

Almost surely, 23419005996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419005996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731660800).

3419005996 is an abundant number, since it is smaller than the sum of its proper divisors (4044315604).

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

3419005996 is a wasteful number, since it uses less digits than its factorization.

3419005996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The square root of 3419005996 is about 58472.2668963672. The cubic root of 3419005996 is about 1506.4912751908.

The spelling of 3419005996 in words is "three billion, four hundred nineteen million, five thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 379 434 532 547 589 758 868 1094 1178 1516 2188 2356 2653 3829 4123 5306 7201 7658 8246 10393 10612 11749 14402 15316 16492 16957 20786 23498 28804 33914 41572 46996 50407 67828 72751 82243 100814 118699 145502 164486 201628 207313 223231 237398 291004 322183 328972 414626 446462 474796 644366 829252 892924 1288732 1451191 1562617 2255281 2902382 3125234 3938947 4510562 5804764 6250468 6426703 7877894 9021124 12853406 15755788 25706812 27572629 44986921 55145258 89973842 110290516 122107357 179947684 244214714 488429428 854751499 1709502998 3419005996