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3049920 = 26335353
BaseRepresentation
bin1011101000100111000000
312201221201000
423220213000
51240044140
6145212000
734631616
oct13504700
95657630
103049920
1117a34a5
121031000
1382a2b3
145956b6
15403a30
hex2e89c0

3049920 has 112 divisors (see below), whose sum is σ = 10789920. Its totient is φ = 811008.

The previous prime is 3049909. The next prime is 3049927. The reversal of 3049920 is 299403.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3049927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8464 + ... + 8816.

Almost surely, 23049920 is an apocalyptic number.

3049920 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 3049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394960).

3049920 is an abundant number, since it is smaller than the sum of its proper divisors (7740000).

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

3049920 is a wasteful number, since it uses less digits than its factorization.

3049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3049920 is about 1746.4020155737. The cubic root of 3049920 is about 145.0205282074.

It can be divided in two parts, 3049 and 920, that added together give a square (3969 = 632).

The spelling of 3049920 in words is "three million, forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 353 360 432 480 540 576 706 720 864 960 1059 1080 1412 1440 1728 1765 2118 2160 2824 2880 3177 3530 4236 4320 5295 5648 6354 7060 8472 8640 9531 10590 11296 12708 14120 15885 16944 19062 21180 22592 25416 28240 31770 33888 38124 42360 47655 50832 56480 63540 67776 76248 84720 95310 101664 112960 127080 152496 169440 190620 203328 254160 304992 338880 381240 508320 609984 762480 1016640 1524960 3049920