Search a number
-
+
3879330 = 235731329
BaseRepresentation
bin1110110011000110100010
321022002102220
432303012202
51443114310
6215051510
744655000
oct16630642
97262386
103879330
11220a664
121370b96
13a5a980
1472da70
15519670
hex3b31a2

3879330 has 128 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 790272.

The previous prime is 3879329. The next prime is 3879347. The reversal of 3879330 is 339783.

3879330 = T155 + T156 + ... + T299.

3879330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3879291 and 3879300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133756 + ... + 133784.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

Almost surely, 23879330 is an apocalyptic number.

3879330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3879330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3879330 is an abundant number, since it is smaller than the sum of its proper divisors (8216670).

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

3879330 is a wasteful number, since it uses less digits than its factorization.

3879330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3879330 is about 1969.6014825340. The cubic root of 3879330 is about 157.1275148343.

The spelling of 3879330 in words is "three million, eight hundred seventy-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 29 30 35 39 42 49 58 65 70 78 87 91 98 105 130 145 147 174 182 195 203 210 245 273 290 294 343 377 390 406 435 455 490 546 609 637 686 735 754 870 910 1015 1029 1131 1218 1274 1365 1421 1470 1715 1885 1911 2030 2058 2262 2639 2730 2842 3045 3185 3430 3770 3822 4263 4459 5145 5278 5655 6090 6370 7105 7917 8526 8918 9555 9947 10290 11310 13195 13377 14210 15834 18473 19110 19894 21315 22295 26390 26754 29841 36946 39585 42630 44590 49735 55419 59682 66885 79170 92365 99470 110838 129311 133770 149205 184730 258622 277095 298410 387933 554190 646555 775866 1293110 1939665 3879330