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2994840 = 233354759
BaseRepresentation
bin1011011011001010011000
312122011011000
423123022120
51231313330
6144105000
734312212
oct13331230
95564130
102994840
111766082
121005160
1380b1c4
1457d5b2
153e2560
hex2db298

2994840 has 128 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 768384.

The previous prime is 2994829. The next prime is 2994847. The reversal of 2994840 is 484992.

It is a happy number.

2994840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2994795 and 2994804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994847) by changing a digit.

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, 50731 + ... + 50789.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

22994840 is an apocalyptic number.

2994840 is a gapful number since it is divisible by the number (20) 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 2994840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

2994840 is an abundant number, since it is smaller than the sum of its proper divisors (7373160).

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

2994840 is a wasteful number, since it uses less digits than its factorization.

2994840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2994840 is about 1730.5606028105. The cubic root of 2994840 is about 144.1422206017.

The spelling of 2994840 in words is "two million, nine hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 59 60 72 90 94 108 118 120 135 141 177 180 188 216 235 236 270 282 295 354 360 376 423 470 472 531 540 564 590 705 708 846 885 940 1062 1080 1128 1180 1269 1410 1416 1593 1692 1770 1880 2115 2124 2360 2538 2655 2773 2820 3186 3384 3540 4230 4248 5076 5310 5546 5640 6345 6372 7080 7965 8319 8460 10152 10620 11092 12690 12744 13865 15930 16638 16920 21240 22184 24957 25380 27730 31860 33276 41595 49914 50760 55460 63720 66552 74871 83190 99828 110920 124785 149742 166380 199656 249570 299484 332760 374355 499140 598968 748710 998280 1497420 2994840