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3983334264 = 2332721386851
BaseRepresentation
bin1110110101101100…
…1101101101111000
3101021121100100100200
43231123031231320
531124213144024
61455132402200
7200465532300
oct35533155570
911247310320
103983334264
111764540a98
12932016360
134b6337b30
1429b056600
15184a822c9
hexed6cdb78

3983334264 has 144 divisors (see below), whose sum is σ = 13515039720. Its totient is φ = 1050537600.

The previous prime is 3983334241. The next prime is 3983334269. The reversal of 3983334264 is 4624333893.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983334269) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2439 + ... + 89289.

Almost surely, 23983334264 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 3983334264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757519860).

3983334264 is an abundant number, since it is smaller than the sum of its proper divisors (9531705456).

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

3983334264 is a wasteful number, since it uses less digits than its factorization.

3983334264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86890 (or 86876 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 3983334264 is about 63113.6614688135. The cubic root of 3983334264 is about 1585.1933825156.

The spelling of 3983334264 in words is "three billion, nine hundred eighty-three million, three hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 86851 173702 260553 347404 521106 607957 694808 781659 1042212 1129063 1215914 1563318 1823871 2084424 2258126 2431828 3126636 3387189 3647742 4255699 4516252 4863656 5471613 6253272 6774378 7295484 7903441 8511398 9032504 10161567 10943226 12767097 13548756 14590968 15806882 17022796 20323134 21886452 23710323 25534194 27097512 31613764 34045592 38301291 40646268 43772904 47420646 51068388 55324087 63227528 71130969 76602582 81292536 94841292 102136776 110648174 142261938 153205164 165972261 189682584 221296348 284523876 306410328 331944522 442592696 497916783 569047752 663889044 995833566 1327778088 1991667132 3983334264