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3048480 = 253252973
BaseRepresentation
bin1011101000010000100000
312201212201200
423220100200
51240022410
6145201200
734624461
oct13502040
95655650
103048480
1117a2406
121030200
13829746
14594d68
154033c0
hex2e8420

3048480 has 144 divisors (see below), whose sum is σ = 10909080. Its totient is φ = 774144.

The previous prime is 3048413. The next prime is 3048497. The reversal of 3048480 is 848403.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 501264 = 1596^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41724 + ... + 41796.

Almost surely, 23048480 is an apocalyptic number.

3048480 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 3048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454540).

3048480 is an abundant number, since it is smaller than the sum of its proper divisors (7860600).

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

3048480 is a wasteful number, since it uses less digits than its factorization.

3048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3048480 is about 1745.9896906912. The cubic root of 3048480 is about 144.9977011130.

The spelling of 3048480 in words is "three million, forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 73 80 87 90 96 116 120 144 145 146 160 174 180 219 232 240 261 288 290 292 348 360 365 435 438 464 480 522 580 584 657 696 720 730 870 876 928 1044 1095 1160 1168 1305 1314 1392 1440 1460 1740 1752 2088 2117 2190 2320 2336 2610 2628 2784 2920 3285 3480 3504 4176 4234 4380 4640 5220 5256 5840 6351 6570 6960 7008 8352 8468 8760 10440 10512 10585 11680 12702 13140 13920 16936 17520 19053 20880 21024 21170 25404 26280 31755 33872 35040 38106 41760 42340 50808 52560 63510 67744 76212 84680 95265 101616 105120 127020 152424 169360 190530 203232 254040 304848 338720 381060 508080 609696 762120 1016160 1524240 3048480