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24344844342 = 23721337172153
BaseRepresentation
bin10110101011000100…
…001101100000110110
32022211122010020012120
4112223010031200312
5344324240004332
615103414300410
71521200522400
oct265304154066
968748106176
1024344844342
11a363036975
124875057706
1323ac898950
14126d363b70
1597740c32c
hex5ab10d836

24344844342 has 96 divisors (see below), whose sum is σ = 62644774752. Its totient is φ = 6247051776.

The previous prime is 24344844341. The next prime is 24344844361.

24344844342 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 24344844294 and 24344844303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24344844341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55338 + ... + 227490.

It is an arithmetic number, because the mean of its divisors is an integer number (652549737).

Almost surely, 224344844342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24344844342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31322387376).

24344844342 is an abundant number, since it is smaller than the sum of its proper divisors (38299930410).

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

24344844342 is a wasteful number, since it uses less digits than its factorization.

24344844342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172222 (or 172215 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The spelling of 24344844342 in words is "twenty-four billion, three hundred forty-four million, eight hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 49 74 78 91 98 111 147 182 222 259 273 294 481 518 546 637 777 962 1274 1443 1554 1813 1911 2886 3367 3626 3822 5439 6734 10101 10878 20202 23569 47138 70707 141414 172153 344306 516459 1032918 1205071 2237989 2410142 3615213 4475978 6369661 6713967 7230426 8435497 12739322 13427934 15665923 16870994 19108983 25306491 31331846 38217966 44587627 46997769 50612982 82805593 89175254 93995538 109661461 133762881 165611186 219322922 248416779 267525762 312113389 328984383 496833558 579639151 624226778 657968766 936340167 1159278302 1738917453 1872680334 3477834906 4057474057 8114948114 12172422171 24344844342