Search a number
-
+
3426043140 = 223251319263293
BaseRepresentation
bin1100110000110101…
…0100010100000100
322211202201000122200
43030031110110010
524004031340030
61323543554500
7150620612652
oct31415242404
98752630580
103426043140
1114a8a03a13
127b745ba30
13427a43a80
14247029dd2
15150b9dd60
hexcc354504

3426043140 has 288 divisors, whose sum is σ = 11865934080. Its totient is φ = 793193472.

The previous prime is 3426043139. The next prime is 3426043141. The reversal of 3426043140 is 413406243.

3426043140 is a `hidden beast` number, since 3 + 42 + 604 + 3 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3426043139) and next prime (3426043141).

It is not an unprimeable number, because it can be changed into a prime (3426043141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11692834 + ... + 11693126.

It is an arithmetic number, because the mean of its divisors is an integer number (41201160).

Almost surely, 23426043140 is an apocalyptic number.

3426043140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932967040).

3426043140 is an abundant number, since it is smaller than the sum of its proper divisors (8439890940).

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

3426043140 is a wasteful number, since it uses less digits than its factorization.

3426043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3426043140 is about 58532.4110215870. The cubic root of 3426043140 is about 1507.5241417551.

Adding to 3426043140 its reverse (413406243), we get a palindrome (3839449383).

It can be divided in two parts, 342604 and 3140, that added together give a square (345744 = 5882).

The spelling of 3426043140 in words is "three billion, four hundred twenty-six million, forty-three thousand, one hundred forty".