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34441386771 = 3119793711483
BaseRepresentation
bin100000000100110111…
…011101101100010011
310021220021112201122110
4200010313131230103
51031013443334041
623453330240403
72326326646221
oct400467355423
9107807481573
1034441386771
11136742a0710
126812426103
13332b588bcc
14194a257b11
15d689da516
hex804dddb13

34441386771 has 32 divisors (see below), whose sum is σ = 50671450368. Its totient is φ = 20634531840.

The previous prime is 34441386737. The next prime is 34441386781. The reversal of 34441386771 is 17768314443.

It is not a de Polignac number, because 34441386771 - 226 = 34374277907 is a prime.

It is a super-2 number, since 2×344413867712 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34441386771.

It is not an unprimeable number, because it can be changed into a prime (34441386701) 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 31 ways as a sum of consecutive naturals, for example, 2993596 + ... + 3005078.

It is an arithmetic number, because the mean of its divisors is an integer number (1583482824).

Almost surely, 234441386771 is an apocalyptic number.

34441386771 is a deficient number, since it is larger than the sum of its proper divisors (16230063597).

34441386771 is a wasteful number, since it uses less digits than its factorization.

34441386771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12531.

The product of its digits is 1354752, while the sum is 48.

The spelling of 34441386771 in words is "thirty-four billion, four hundred forty-one million, three hundred eighty-six thousand, seven hundred seventy-one".

Divisors: 1 3 11 33 97 291 937 1067 2811 3201 10307 11483 30921 34449 90889 126313 272667 378939 999779 1113851 2999337 3341553 10759571 12252361 32278713 36757083 118355281 355065843 1043678387 3131035161 11480462257 34441386771