Search a number
-
+
3426403104 = 2532231274073
BaseRepresentation
bin1100110000111010…
…1100001100100000
322211210101022102200
43030032230030200
524004124344404
61323555413200
7150623642265
oct31416541440
98753338380
103426403104
1114a912a403
127b75b4200
13427b3b877
142470c126c
15150c20839
hexcc3ac320

3426403104 has 144 divisors (see below), whose sum is σ = 10250053632. Its totient is φ = 1083608064.

The previous prime is 3426403103. The next prime is 3426403109. The reversal of 3426403104 is 4013046243.

3426403104 is a `hidden beast` number, since 3 + 4 + 2 + 640 + 3 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34264031042 = 23480476462201669632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3426403103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839212 + ... + 843284.

It is an arithmetic number, because the mean of its divisors is an integer number (71180928).

Almost surely, 23426403104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125026816).

3426403104 is an abundant number, since it is smaller than the sum of its proper divisors (6823650528).

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

3426403104 is a wasteful number, since it uses less digits than its factorization.

3426403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4228 counting only the distinct ones).

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

The square root of 3426403104 is about 58535.4858526006. The cubic root of 3426403104 is about 1507.5769369082.

Adding to 3426403104 its reverse (4013046243), we get a palindrome (7439449347).

It can be divided in two parts, 342640 and 3104, that added together give a square (345744 = 5882).

The spelling of 3426403104 in words is "three billion, four hundred twenty-six million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 127 138 144 184 207 254 276 288 368 381 414 508 552 736 762 828 1016 1104 1143 1524 1656 2032 2208 2286 2921 3048 3312 4064 4073 4572 5842 6096 6624 8146 8763 9144 11684 12192 12219 16292 17526 18288 23368 24438 26289 32584 35052 36576 36657 46736 48876 52578 65168 70104 73314 93472 93679 97752 105156 130336 140208 146628 187358 195504 210312 280416 281037 293256 374716 391008 420624 517271 562074 586512 749432 841248 843111 1034542 1124148 1173024 1498864 1551813 1686222 2069084 2248296 2997728 3103626 3372444 4138168 4496592 4655439 6207252 6744888 8276336 8993184 9310878 11897233 12414504 13489776 16552672 18621756 23794466 24829008 26979552 35691699 37243512 47588932 49658016 71383398 74487024 95177864 107075097 142766796 148974048 190355728 214150194 285533592 380711456 428300388 571067184 856600776 1142134368 1713201552 3426403104