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3048780 = 2235721761
BaseRepresentation
bin1011101000010101001100
312201220010210
423220111030
51240030110
6145202420
734625400
oct13502514
95656123
103048780
1117a2659
121030410
13829917
14595100
15403520
hex2e854c

3048780 has 144 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 645120.

The previous prime is 3048769. The next prime is 3048781. The reversal of 3048780 is 878403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3048781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49950 + ... + 50010.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

Almost surely, 23048780 is an apocalyptic number.

3048780 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 3048780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

3048780 is an abundant number, since it is smaller than the sum of its proper divisors (7638036).

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

3048780 is a wasteful number, since it uses less digits than its factorization.

3048780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3048780 is about 1746.0755997379. The cubic root of 3048780 is about 145.0024573503.

Adding to 3048780 its product of nonzero digits (5376), we get a triangular number (3054156 = T2471).

It can be divided in two parts, 3048 and 780, that added together give a triangular number (3828 = T87).

The spelling of 3048780 in words is "three million, forty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 61 68 70 84 85 98 102 105 119 122 140 147 170 183 196 204 210 238 244 245 255 294 305 340 357 366 420 427 476 490 510 588 595 610 714 732 735 833 854 915 980 1020 1037 1190 1220 1281 1428 1470 1666 1708 1785 1830 2074 2135 2380 2499 2562 2940 2989 3111 3332 3570 3660 4148 4165 4270 4998 5124 5185 5978 6222 6405 7140 7259 8330 8540 8967 9996 10370 11956 12444 12495 12810 14518 14945 15555 16660 17934 20740 21777 24990 25620 29036 29890 31110 35868 36295 43554 44835 49980 50813 59780 62220 72590 87108 89670 101626 108885 145180 152439 179340 203252 217770 254065 304878 435540 508130 609756 762195 1016260 1524390 3048780