Search a number
-
+
3426443712 = 26329196473
BaseRepresentation
bin1100110000111011…
…0110000111000000
322211210110101010200
43030032312013000
524004132144322
61324000325200
7150624201546
oct31416660700
98753411120
103426443712
1114a915796a
127b7613800
13427b541b3
142470d1d96
15150c2c8ac
hexcc3b61c0

3426443712 has 84 divisors (see below), whose sum is σ = 9833488080. Its totient is φ = 1140728832.

The previous prime is 3426443707. The next prime is 3426443747. The reversal of 3426443712 is 2173446243.

3426443712 is a `hidden beast` number, since 3 + 4 + 2 + 644 + 3 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526108 + ... + 532580.

Almost surely, 23426443712 is an apocalyptic number.

3426443712 is a gapful number since it is divisible by the number (32) 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 3426443712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916744040).

3426443712 is an abundant number, since it is smaller than the sum of its proper divisors (6407044368).

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

3426443712 is a wasteful number, since it uses less digits than its factorization.

3426443712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410 (or 7397 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3426443712 is about 58535.8327180882. The cubic root of 3426443712 is about 1507.5828925649.

Adding to 3426443712 its reverse (2173446243), we get a palindrome (5599889955).

The spelling of 3426443712 in words is "three billion, four hundred twenty-six million, four hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 919 1838 2757 3676 5514 6473 7352 8271 11028 12946 14704 16542 19419 22056 25892 29408 33084 38838 44112 51784 58257 58816 66168 77676 88224 103568 116514 132336 155352 176448 207136 233028 264672 310704 414272 466056 529344 621408 932112 1242816 1864224 3728448 5948687 11897374 17846061 23794748 35692122 47589496 53538183 71384244 95178992 107076366 142768488 190357984 214152732 285536976 380715968 428305464 571073952 856610928 1142147904 1713221856 3426443712