[go: up one dir, main page]

Search a number
-
+
3054480 = 2435111389
BaseRepresentation
bin1011101001101110010000
312202011221220
423221232100
51240220410
6145245040
734651122
oct13515620
95664856
103054480
1117a6970
121033780
1382c3b0
14597212
15405070
hex2e9b90

3054480 has 160 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 675840.

The previous prime is 3054449. The next prime is 3054517. The reversal of 3054480 is 844503.

It is a happy number.

3054480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3054480.

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 31 ways as a sum of consecutive naturals, for example, 34276 + ... + 34364.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

Almost surely, 23054480 is an apocalyptic number.

3054480 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 3054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3054480 is an abundant number, since it is smaller than the sum of its proper divisors (8194800).

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

3054480 is a wasteful number, since it uses less digits than its factorization.

3054480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3054480 is about 1747.7070692768. The cubic root of 3054480 is about 145.0927666388.

Adding to 3054480 its reverse (844503), we get a palindrome (3898983).

The spelling of 3054480 in words is "three million, fifty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 89 104 110 120 130 132 143 156 165 176 178 195 208 220 240 260 264 267 286 312 330 356 390 429 440 445 520 528 534 572 624 660 712 715 780 858 880 890 979 1040 1068 1144 1157 1320 1335 1424 1430 1560 1716 1780 1958 2136 2145 2288 2314 2640 2670 2860 2937 3120 3432 3471 3560 3916 4272 4290 4628 4895 5340 5720 5785 5874 6864 6942 7120 7832 8580 9256 9790 10680 11440 11570 11748 12727 13884 14685 15664 17160 17355 18512 19580 21360 23140 23496 25454 27768 29370 34320 34710 38181 39160 46280 46992 50908 55536 58740 63635 69420 76362 78320 92560 101816 117480 127270 138840 152724 190905 203632 234960 254540 277680 305448 381810 509080 610896 763620 1018160 1527240 3054480