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3014820 = 223451861
BaseRepresentation
bin1011100000000010100100
312200011120000
423200002210
51232433240
6144341300
734424364
oct13400244
95604500
103014820
11177a096
121014830
13817323
145869a4
153e8430
hex2e00a4

3014820 has 60 divisors (see below), whose sum is σ = 9462684. Its totient is φ = 803520.

The previous prime is 3014819. The next prime is 3014839. The reversal of 3014820 is 284103.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 2683044 = 576^2 + 1638^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3014793 and 3014802.

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 19 ways as a sum of consecutive naturals, for example, 690 + ... + 2550.

Almost surely, 23014820 is an apocalyptic number.

3014820 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 3014820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731342).

3014820 is an abundant number, since it is smaller than the sum of its proper divisors (6447864).

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

3014820 is a wasteful number, since it uses less digits than its factorization.

3014820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3014820 is about 1736.3237025394. The cubic root of 3014820 is about 144.4620574622.

Adding to 3014820 its reverse (284103), we get a palindrome (3298923).

The spelling of 3014820 in words is "three million, fourteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1861 3722 5583 7444 9305 11166 16749 18610 22332 27915 33498 37220 50247 55830 66996 83745 100494 111660 150741 167490 200988 251235 301482 334980 502470 602964 753705 1004940 1507410 3014820