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334044255104 = 2772173307859
BaseRepresentation
bin1001101110001101001…
…01101101001110000000
31011221020010012101011022
410313012211231032000
520433110312130404
6413242515405012
733063633214400
oct4670645551600
91157203171138
10334044255104
1111973830101a
12548a68b3768
132566703b961
141224c740800
158a513a08be
hex4dc696d380

334044255104 has 96 divisors (see below), whose sum is σ = 778605647400. Its totient is φ = 142333836288.

The previous prime is 334044255101. The next prime is 334044255109. The reversal of 334044255104 is 401552440433.

It is a super-2 number, since 2×3340442551042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334044255101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931127 + ... + 1238985.

Almost surely, 2334044255104 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 334044255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389302823700).

334044255104 is an abundant number, since it is smaller than the sum of its proper divisors (444561392296).

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

334044255104 is a wasteful number, since it uses less digits than its factorization.

334044255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308060 (or 308041 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 334044255104 its reverse (401552440433), we get a palindrome (735596695537).

The spelling of 334044255104 in words is "three hundred thirty-four billion, forty-four million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 173 196 224 346 392 448 692 784 896 1211 1384 1568 2422 2768 3136 4844 5536 6272 8477 9688 11072 16954 19376 22144 33908 38752 67816 77504 135632 155008 271264 307859 542528 615718 1085056 1231436 2155013 2462872 4310026 4925744 8620052 9851488 15085091 17240104 19702976 30170182 34480208 39405952 53259607 60340364 68960416 106519214 120680728 137920832 213038428 241361456 275841664 372817249 426076856 482722912 745634498 852153712 965445824 1491268996 1704307424 1930891648 2609720743 2982537992 3408614848 5219441486 5965075984 6817229696 10438882972 11930151968 20877765944 23860303936 41755531888 47720607872 83511063776 167022127552 334044255104