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3022920 = 23355311
BaseRepresentation
bin1011100010000001001000
312200120200000
423202001020
51233213140
6144443000
734460115
oct13420110
95616600
103022920
11178518a
121019460
1381ac14
1458990c
153eaa30
hex2e2048

3022920 has 96 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 803520.

The previous prime is 3022909. The next prime is 3022933. The reversal of 3022920 is 292203.

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 = 3022893 and 3022902.

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 23 ways as a sum of consecutive naturals, for example, 9565 + ... + 9875.

It is an arithmetic number, because the mean of its divisors is an integer number (106470).

Almost surely, 23022920 is an apocalyptic number.

3022920 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 3022920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

3022920 is an abundant number, since it is smaller than the sum of its proper divisors (7198200).

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

3022920 is a wasteful number, since it uses less digits than its factorization.

3022920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3022920 is about 1738.6546523102. The cubic root of 3022920 is about 144.5913184988.

The spelling of 3022920 in words is "three million, twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 311 324 360 405 486 540 622 648 810 933 972 1080 1215 1244 1555 1620 1866 1944 2430 2488 2799 3110 3240 3732 4665 4860 5598 6220 7464 8397 9330 9720 11196 12440 13995 16794 18660 22392 25191 27990 33588 37320 41985 50382 55980 67176 75573 83970 100764 111960 125955 151146 167940 201528 251910 302292 335880 377865 503820 604584 755730 1007640 1511460 3022920