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3426707106 = 234295091433
BaseRepresentation
bin1100110000111111…
…0110011010100010
322211210221202110000
43030033312122202
524004214111411
61324010120430
7150626346504
oct31417663242
98753852400
103426707106
1114a9317849
127b7720116
13427c17054
1424715dd74
15150c80956
hexcc3f66a2

3426707106 has 80 divisors (see below), whose sum is σ = 7964292600. Its totient is φ = 1099913472.

The previous prime is 3426707101. The next prime is 3426707111. The reversal of 3426707106 is 6017076243.

It is an interprime number because it is at equal distance from previous prime (3426707101) and next prime (3426707111).

It can be written as a sum of positive squares in 4 ways, for example, as 3423303081 + 3404025 = 58509^2 + 1845^2 .

It is not an unprimeable number, because it can be changed into a prime (3426707101) 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 39 ways as a sum of consecutive naturals, for example, 2390566 + ... + 2391998.

Almost surely, 23426707106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426707106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982146300).

3426707106 is an abundant number, since it is smaller than the sum of its proper divisors (4537585494).

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

3426707106 is a wasteful number, since it uses less digits than its factorization.

3426707106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3426707106 is about 58538.0825275307. The cubic root of 3426707106 is about 1507.6215213540.

The spelling of 3426707106 in words is "three billion, four hundred twenty-six million, seven hundred seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 509 522 783 1018 1433 1527 1566 2349 2866 3054 4299 4581 4698 8598 9162 12897 13743 14761 25794 27486 29522 38691 41229 41557 44283 77382 82458 83114 88566 116073 124671 132849 232146 249342 265698 374013 398547 729397 748026 797094 1122039 1195641 1458794 2188191 2244078 2391282 3366117 4376382 6564573 6732234 13129146 19693719 21152513 39387438 42305026 59081157 63457539 118162314 126915078 190372617 380745234 571117851 1142235702 1713353553 3426707106