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3557642340 = 2235719343889
BaseRepresentation
bin1101010000001101…
…0101000001100100
3100011221022221211010
43110003111001210
524241224023330
61345004342220
7154106314050
oct32403250144
910157287733
103557642340
11156621838a
12833544970
1344909c415
1425a6c4c60
1515c4e63b0
hexd40d5064

3557642340 has 96 divisors (see below), whose sum is σ = 11443703040. Its totient is φ = 808943616.

The previous prime is 3557642339. The next prime is 3557642353. The reversal of 3557642340 is 432467553.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59116 + ... + 103004.

It is an arithmetic number, because the mean of its divisors is an integer number (119205240).

Almost surely, 23557642340 is an apocalyptic number.

3557642340 is a gapful number since it is divisible by the number (30) 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 3557642340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721851520).

3557642340 is an abundant number, since it is smaller than the sum of its proper divisors (7886060700).

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

3557642340 is a wasteful number, since it uses less digits than its factorization.

3557642340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44101 (or 44099 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The square root of 3557642340 is about 59645.9750528064. The cubic root of 3557642340 is about 1526.5841948249.

The spelling of 3557642340 in words is "three billion, five hundred fifty-seven million, six hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 193 210 386 420 579 772 965 1158 1351 1930 2316 2702 2895 3860 4053 5404 5790 6755 8106 11580 13510 16212 20265 27020 40530 43889 81060 87778 131667 175556 219445 263334 307223 438890 526668 614446 658335 877780 921669 1228892 1316670 1536115 1843338 2633340 3072230 3686676 4608345 6144460 8470577 9216690 16941154 18433380 25411731 33882308 42352885 50823462 59294039 84705770 101646924 118588078 127058655 169411540 177882117 237176156 254117310 296470195 355764234 508234620 592940390 711528468 889410585 1185880780 1778821170 3557642340