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3423673472 = 271311911069
BaseRepresentation
bin1100110000010001…
…0001110010000000
322211121020122002012
43030010101302000
524002430022342
61323421112052
7150561513212
oct31404216200
98747218065
103423673472
1114a763560a
127b66b8628
134273c42bb
142469b05b2
15150881b82
hexcc111c80

3423673472 has 64 divisors (see below), whose sum is σ = 6915110400. Its totient is φ = 1688294400.

The previous prime is 3423673453. The next prime is 3423673483. The reversal of 3423673472 is 2743763243.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202154 + ... + 3203222.

It is an arithmetic number, because the mean of its divisors is an integer number (108048600).

Almost surely, 23423673472 is an apocalyptic number.

3423673472 is a gapful number since it is divisible by the number (32) 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 3423673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457555200).

3423673472 is an abundant number, since it is smaller than the sum of its proper divisors (3491436928).

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

3423673472 is a wasteful number, since it uses less digits than its factorization.

3423673472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1393 counting only the distinct ones).

The product of its digits is 508032, while the sum is 41.

The square root of 3423673472 is about 58512.1651624686. The cubic root of 3423673472 is about 1507.1764952617.

The spelling of 3423673472 in words is "three billion, four hundred twenty-three million, six hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 131 191 262 382 524 764 1048 1069 1528 2096 2138 3056 4192 4276 6112 8384 8552 12224 16768 17104 24448 25021 34208 50042 68416 100084 136832 140039 200168 204179 280078 400336 408358 560156 800672 816716 1120312 1601344 1633432 2240624 3202688 3266864 4481248 6533728 8962496 13067456 17924992 26134912 26747449 53494898 106989796 213979592 427959184 855918368 1711836736 3423673472