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2027814334 = 2721383127151
BaseRepresentation
bin111100011011101…
…1111110110111110
312020022200122022121
41320313133312332
513123110024314
6533115033154
7101152065100
oct17067376676
95208618277
102027814334
11950714a17
1248713b7ba
13264165550
14153459570
15bd058d24
hex78ddfdbe

2027814334 has 96 divisors (see below), whose sum is σ = 3912523776. Its totient is φ = 781099200.

The previous prime is 2027814331. The next prime is 2027814353. The reversal of 2027814334 is 4334187202.

It is a super-2 number, since 2×20278143342 = 8224061946351727112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2027814334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027814331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13429159 + ... + 13429309.

It is an arithmetic number, because the mean of its divisors is an integer number (40755456).

Almost surely, 22027814334 is an apocalyptic number.

2027814334 is a deficient number, since it is larger than the sum of its proper divisors (1884709442).

2027814334 is a wasteful number, since it uses less digits than its factorization.

2027814334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2027814334 is about 45031.2595204709. The cubic root of 2027814334 is about 1265.7348257113.

The spelling of 2027814334 in words is "two billion, twenty-seven million, eight hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 7 13 14 26 49 83 91 98 127 151 166 182 254 302 581 637 889 1057 1079 1162 1274 1651 1778 1963 2114 2158 3302 3926 4067 6223 7399 7553 8134 10541 11557 12446 12533 13741 14798 15106 19177 21082 23114 25066 27482 38354 52871 73787 80899 87731 96187 105742 134239 137033 147574 161798 162929 175462 192374 249301 268478 274066 325858 498602 516509 614117 939673 959231 1033018 1140503 1228234 1591691 1745107 1879346 1918462 2281006 3183382 3490214 6714617 7983521 11141837 12215749 13429234 15967042 20691983 22283674 24431498 41383966 77992859 144843881 155985718 289687762 1013907167 2027814334