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3458663056 = 2417311732371
BaseRepresentation
bin1100111000100111…
…0000001010010000
322221001002021202201
43032021300022100
524040404204211
61331111052544
7151465102522
oct31611601220
98831067681
103458663056
111515363822
12806371154
134317253b4
1424b4bba12
151539940c1
hexce270290

3458663056 has 80 divisors (see below), whose sum is σ = 7369671168. Its totient is φ = 1565337600.

The previous prime is 3458663017. The next prime is 3458663063. The reversal of 3458663056 is 6503668543.

It is a junction number, because it is equal to n+sod(n) for n = 3458662997 and 3458663015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457551 + ... + 1459921.

Almost surely, 23458663056 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 3458663056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684835584).

3458663056 is an abundant number, since it is smaller than the sum of its proper divisors (3911008112).

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

3458663056 is a wasteful number, since it uses less digits than its factorization.

3458663056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The square root of 3458663056 is about 58810.3992164651. The cubic root of 3458663056 is about 1512.2934981696.

The spelling of 3458663056 in words is "three billion, four hundred fifty-eight million, six hundred sixty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 173 248 272 346 496 527 692 1054 1384 2108 2371 2768 2941 4216 4742 5363 5882 8432 9484 10726 11764 18968 21452 23528 37936 40307 42904 47056 73501 80614 85808 91171 147002 161228 182342 294004 322456 364684 410183 588008 644912 729368 820366 1176016 1249517 1458736 1640732 2499034 3281464 4998068 6562928 6973111 9996136 12715673 13946222 19992272 25431346 27892444 50862692 55784888 101725384 111569776 203450768 216166441 432332882 864665764 1729331528 3458663056