Search a number
-
+
3849780 = 22351119307
BaseRepresentation
bin1110101011111000110100
321020120220110
432223320310
51441143110
6214303020
744502564
oct16537064
97216813
103849780
11219a440
121357a70
13a4a39c
14722da4
15510a20
hex3abe34

3849780 has 96 divisors (see below), whose sum is σ = 12418560. Its totient is φ = 881280.

The previous prime is 3849767. The next prime is 3849787. The reversal of 3849780 is 879483.

3849780 = T431 + T432 + ... + T468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3849787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12387 + ... + 12693.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

Almost surely, 23849780 is an apocalyptic number.

3849780 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 3849780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209280).

3849780 is an abundant number, since it is smaller than the sum of its proper divisors (8568780).

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

3849780 is a wasteful number, since it uses less digits than its factorization.

3849780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 3849780 is about 1962.0856250429. The cubic root of 3849780 is about 156.7275353239.

The spelling of 3849780 in words is "three million, eight hundred forty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 307 330 380 418 570 614 627 660 836 921 1045 1140 1228 1254 1535 1842 2090 2508 3070 3135 3377 3684 4180 4605 5833 6140 6270 6754 9210 10131 11666 12540 13508 16885 17499 18420 20262 23332 29165 33770 34998 40524 50655 58330 64163 67540 69996 87495 101310 116660 128326 174990 192489 202620 256652 320815 349980 384978 641630 769956 962445 1283260 1924890 3849780