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3454724416 = 261113735171
BaseRepresentation
bin1100110111101010…
…1110100101000000
322220202200011222011
43031322232211000
524033402140131
61330450422304
7151416446563
oct31572564500
98822604864
103454724416
111513113650
12804b91994
13430976740
1424ab744da
151534670b1
hexcdeae940

3454724416 has 112 divisors (see below), whose sum is σ = 8165884608. Its totient is φ = 1429401600.

The previous prime is 3454724389. The next prime is 3454724423. The reversal of 3454724416 is 6144274543.

It is a happy number.

3454724416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 665511 + ... + 670681.

It is an arithmetic number, because the mean of its divisors is an integer number (72909684).

Almost surely, 23454724416 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 3454724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082942304).

3454724416 is an abundant number, since it is smaller than the sum of its proper divisors (4711160192).

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

3454724416 is a wasteful number, since it uses less digits than its factorization.

3454724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5270 counting only the distinct ones).

The product of its digits is 322560, while the sum is 40.

The square root of 3454724416 is about 58776.9037632980. The cubic root of 3454724416 is about 1511.7192259734.

Adding to 3454724416 its reverse (6144274543), we get a palindrome (9598998959).

The spelling of 3454724416 in words is "three billion, four hundred fifty-four million, seven hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 73 88 104 143 146 176 208 286 292 352 416 572 584 704 803 832 949 1144 1168 1606 1898 2288 2336 3212 3796 4576 4672 5171 6424 7592 9152 10342 10439 12848 15184 20684 20878 25696 30368 41368 41756 51392 56881 60736 67223 82736 83512 113762 134446 165472 167024 227524 268892 330944 334048 377483 455048 537784 668096 739453 754966 910096 1075568 1478906 1509932 1820192 2151136 2957812 3019864 3640384 4152313 4302272 4907279 5915624 6039728 8304626 9814558 11831248 12079456 16609252 19629116 23662496 24158912 33218504 39258232 47324992 53980069 66437008 78516464 107960138 132874016 157032928 215920276 265748032 314065856 431840552 863681104 1727362208 3454724416