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3444766424 = 231131917027
BaseRepresentation
bin1100110101010010…
…1111011011011000
322220001221021011122
43031110233123120
524023330011144
61325453144412
7151236013541
oct31524573330
98801837148
103444766424
111508532000
1280178b108
1342b89b038
142497014c8
1515264b7ee
hexcd52f6d8

3444766424 has 64 divisors (see below), whose sum is σ = 7478697600. Its totient is φ = 1483305120.

The previous prime is 3444766397. The next prime is 3444766447. The reversal of 3444766424 is 4246674443.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 193799 + ... + 210825.

It is an arithmetic number, because the mean of its divisors is an integer number (116854650).

Almost surely, 23444766424 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 3444766424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739348800).

3444766424 is an abundant number, since it is smaller than the sum of its proper divisors (4033931176).

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

3444766424 is a wasteful number, since it uses less digits than its factorization.

3444766424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17085 (or 17059 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 44.

The square root of 3444766424 is about 58692.1325562464. The cubic root of 3444766424 is about 1510.2653545912.

The spelling of 3444766424 in words is "three billion, four hundred forty-four million, seven hundred sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1331 1672 2299 2662 4598 5324 9196 10648 17027 18392 25289 34054 50578 68108 101156 136216 187297 202312 323513 374594 647026 749188 1294052 1498376 2060267 2588104 3558643 4120534 7117286 8241068 14234572 16482136 22662937 28469144 39145073 45325874 78290146 90651748 156580292 181303496 313160584 430595803 861191606 1722383212 3444766424