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3332871828 = 223211131738083
BaseRepresentation
bin1100011010100111…
…1001011010010100
322121021101102122100
43012221321122110
523311203344303
61310415002100
7145406641326
oct30651713224
98537342570
103332871828
111460356a30
12790209330
13411651510
142388d5616
151478e78a3
hexc6a79694

3332871828 has 144 divisors (see below), whose sum is σ = 10480107456. Its totient is φ = 877409280.

The previous prime is 3332871799. The next prime is 3332871859. The reversal of 3332871828 is 8281782333.

3332871828 is a `hidden beast` number, since 333 + 287 + 18 + 28 = 666.

3332871828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33328718282 = 22216069243752123168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68475 + ... + 106557.

It is an arithmetic number, because the mean of its divisors is an integer number (72778524).

Almost surely, 23332871828 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 3332871828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240053728).

3332871828 is an abundant number, since it is smaller than the sum of its proper divisors (7147235628).

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

3332871828 is a wasteful number, since it uses less digits than its factorization.

3332871828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38134 (or 38129 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 3332871828 is about 57731.0300271873. The cubic root of 3332871828 is about 1493.7326392642.

The spelling of 3332871828 in words is "three billion, three hundred thirty-two million, eight hundred seventy-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 663 748 858 884 1122 1287 1326 1683 1716 1989 2244 2431 2574 2652 3366 3978 4862 5148 6732 7293 7956 9724 14586 21879 29172 38083 43758 76166 87516 114249 152332 228498 342747 418913 456996 495079 647411 685494 837826 990158 1256739 1294822 1370988 1485237 1675652 1942233 1980316 2513478 2589644 2970474 3770217 3884466 4455711 5026956 5445869 5826699 5940948 7121521 7540434 7768932 8416343 8911422 10891738 11653398 14243042 15080868 16337607 16832686 17822844 21364563 21783476 23306796 25249029 28486084 32675214 33665372 42729126 49012821 50498058 64093689 65350428 75747087 85458252 92579773 98025642 100996116 128187378 151494174 185159546 196051284 256374756 277739319 302988348 370319092 555478638 833217957 1110957276 1666435914 3332871828