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3034680 = 233511319
BaseRepresentation
bin1011100100111000111000
312201011210120
423210320320
51234102210
6145013240
734536315
oct13447070
95634716
103034680
111793000
121024220
1382338c
1458dd0c
153ee270
hex2e4e38

3034680 has 128 divisors (see below), whose sum is σ = 10540800. Its totient is φ = 696960.

The previous prime is 3034679. The next prime is 3034693. The reversal of 3034680 is 864303.

3034680 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 3034680.

It is a congruent number.

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, 159711 + ... + 159729.

It is an arithmetic number, because the mean of its divisors is an integer number (82350).

Almost surely, 23034680 is an apocalyptic number.

3034680 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 3034680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270400).

3034680 is an abundant number, since it is smaller than the sum of its proper divisors (7506120).

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

3034680 is a wasteful number, since it uses less digits than its factorization.

3034680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3034680 is about 1742.0332947450. The cubic root of 3034680 is about 144.7785760353.

Adding to 3034680 its reverse (864303), we get a palindrome (3898983).

It can be divided in two parts, 30 and 34680, that multiplied together give a square (1040400 = 10202).

The spelling of 3034680 in words is "three million, thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 121 132 152 165 190 209 220 228 242 264 285 330 363 380 418 440 456 484 570 605 627 660 726 760 836 968 1045 1140 1210 1254 1320 1331 1452 1672 1815 2090 2280 2299 2420 2508 2662 2904 3135 3630 3993 4180 4598 4840 5016 5324 6270 6655 6897 7260 7986 8360 9196 10648 11495 12540 13310 13794 14520 15972 18392 19965 22990 25080 25289 26620 27588 31944 34485 39930 45980 50578 53240 55176 68970 75867 79860 91960 101156 126445 137940 151734 159720 202312 252890 275880 303468 379335 505780 606936 758670 1011560 1517340 3034680