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74434110344 = 231137191119689
BaseRepresentation
bin100010101010010011…
…1100110001110001000
321010010102220120202122
41011110213212032020
52204420113012334
654110005150412
75243355333026
oct1052447461610
9233112816678
1074434110344
1129627129880
12125139bb408
137032c91499
14386188d716
151e09a3632e
hex11549e6388

74434110344 has 64 divisors (see below), whose sum is σ = 157186483200. Its totient is φ = 32746636800.

The previous prime is 74434110293. The next prime is 74434110371. The reversal of 74434110344 is 44301143447.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562052 + ... + 681740.

It is an arithmetic number, because the mean of its divisors is an integer number (2456038800).

Almost surely, 274434110344 is an apocalyptic number.

74434110344 is a gapful number since it is divisible by the number (74) 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 74434110344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78593241600).

74434110344 is an abundant number, since it is smaller than the sum of its proper divisors (82752372856).

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

74434110344 is a wasteful number, since it uses less digits than its factorization.

74434110344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119934 (or 119930 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 74434110344 in words is "seventy-four billion, four hundred thirty-four million, one hundred ten thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 191 296 382 407 764 814 1528 1628 2101 3256 4202 7067 8404 14134 16808 28268 56536 77737 119689 155474 239378 310948 478756 621896 957512 1316579 2633158 4428493 5266316 8856986 10532632 17713972 22860599 35427944 45721198 48713423 91442396 97426846 182884792 194853692 251466589 389707384 502933178 845842163 1005866356 1691684326 2011732712 3383368652 6766737304 9304263793 18608527586 37217055172 74434110344