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3468645738 = 2321931536173
BaseRepresentation
bin1100111010111111…
…0101010101101010
322221201212110102200
43032233311111222
524100433130423
61332105041030
7151646000535
oct31657652552
98851773380
103468645738
11151aa61978
12809786176
1343380c0cc
1424c959a1c
151547b6d43
hexcebf556a

3468645738 has 96 divisors (see below), whose sum is σ = 8321564160. Its totient is φ = 1039858560.

The previous prime is 3468645701. The next prime is 3468645767. The reversal of 3468645738 is 8375468643.

3468645738 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 64 + 573 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558820 + ... + 564992.

It is an arithmetic number, because the mean of its divisors is an integer number (86682960).

Almost surely, 23468645738 is an apocalyptic number.

3468645738 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468645738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

3468645738 is an abundant number, since it is smaller than the sum of its proper divisors (4852918422).

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

3468645738 is a wasteful number, since it uses less digits than its factorization.

3468645738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6281 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3468645738 is about 58895.2098052125. The cubic root of 3468645738 is about 1513.7470698329.

The spelling of 3468645738 in words is "three billion, four hundred sixty-eight million, six hundred forty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 31 38 53 57 62 93 106 114 159 171 186 279 318 342 477 558 589 954 1007 1178 1643 1767 2014 3021 3286 3534 4929 5301 6042 6173 9063 9858 10602 12346 14787 18126 18519 29574 31217 37038 55557 62434 93651 111114 117287 187302 191363 234574 280953 327169 351861 382726 561906 574089 654338 703722 981507 1055583 1148178 1722267 1963014 2111166 2944521 3444534 3635897 5889042 6216211 7271794 10142239 10907691 12432422 18648633 20284478 21815382 30426717 32723073 37297266 55945899 60853434 65446146 91280151 111891798 182560302 192702541 385405082 578107623 1156215246 1734322869 3468645738