Search a number
-
+
3426352146 = 2327229971381
BaseRepresentation
bin1100110000111001…
…1111110000010010
322211210021201112100
43030032133300102
524004121232041
61323554341230
7150623340600
oct31416376022
98753251470
103426352146
1114a90a5098
127b758a816
13427b21609
142470aa870
15150c106b6
hexcc39fc12

3426352146 has 144 divisors (see below), whose sum is σ = 9032226840. Its totient is φ = 934778880.

The previous prime is 3426352073. The next prime is 3426352147. The reversal of 3426352146 is 6412536243.

3426352146 is a `hidden beast` number, since 3 + 4 + 2 + 635 + 2 + 14 + 6 = 666.

3426352146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2833965225 + 592386921 = 53235^2 + 24339^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3426352146.

It is not an unprimeable number, because it can be changed into a prime (3426352147) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2480376 + ... + 2481756.

Almost surely, 23426352146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426352146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516113420).

3426352146 is an abundant number, since it is smaller than the sum of its proper divisors (5605874694).

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

3426352146 is a wasteful number, since it uses less digits than its factorization.

3426352146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1519 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3426352146 is about 58535.0505765563. The cubic root of 3426352146 is about 1507.5694632315.

Adding to 3426352146 its reverse (6412536243), we get a palindrome (9838888389).

The spelling of 3426352146 in words is "three billion, four hundred twenty-six million, three hundred fifty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 97 98 126 147 174 194 203 261 291 294 406 441 522 582 609 679 873 882 1218 1358 1381 1421 1746 1827 2037 2762 2813 2842 3654 4074 4143 4263 4753 5626 6111 8286 8439 8526 9506 9667 12222 12429 12789 14259 16878 19334 19691 24858 25317 25578 28518 29001 39382 40049 42777 50634 58002 59073 67669 80098 85554 87003 118146 120147 133957 135338 137837 174006 177219 203007 240294 267914 275674 280343 354438 360441 401871 406014 413511 560686 609021 720882 803742 827022 841029 937699 1205613 1218042 1240533 1682058 1875398 1962401 2411226 2481066 2523087 2813097 3884753 3924802 5046174 5626194 5887203 6563893 7769506 8439291 11654259 11774406 13127786 16878582 17661609 19691679 23308518 27193271 34962777 35323218 39383358 54386542 59075037 69925554 81579813 118150074 163159626 190352897 244739439 380705794 489478878 571058691 1142117382 1713176073 3426352146