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34404144104 = 23111492623867
BaseRepresentation
bin100000000010101001…
…011001001111101000
310021210200110121022102
4200002221121033220
51030424430102404
623445520112532
72325365254061
oct400251311750
9107720417272
1034404144104
1113655273750
126801a65748
133323949425
141945321568
15d655d071e
hex802a593e8

34404144104 has 32 divisors (see below), whose sum is σ = 70844436000. Its totient is φ = 15533286720.

The previous prime is 34404144097. The next prime is 34404144107. The reversal of 34404144104 is 40144140443.

It is a super-6 number, since 6×344041441046 (a number of 64 digits) contains 666666 as substring.

It is not an unprimeable number, because it can be changed into a prime (34404144107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1298822 + ... + 1325045.

It is an arithmetic number, because the mean of its divisors is an integer number (2213888625).

Almost surely, 234404144104 is an apocalyptic number.

It is an amenable number.

34404144104 is an abundant number, since it is smaller than the sum of its proper divisors (36440291896).

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

34404144104 is a wasteful number, since it uses less digits than its factorization.

34404144104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624033 (or 2624029 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 34404144104 its reverse (40144140443), we get a palindrome (74548284547).

The spelling of 34404144104 in words is "thirty-four billion, four hundred four million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 149 298 596 1192 1639 3278 6556 13112 2623867 5247734 10495468 20990936 28862537 57725074 115450148 230900296 390956183 781912366 1563824732 3127649464 4300518013 8601036026 17202072052 34404144104