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3022368 = 253191657
BaseRepresentation
bin1011100001111000100000
312200112220120
423201320200
51233203433
6144440240
734455366
oct13417040
95615816
103022368
111784828
121019080
1381a8ab
14589636
153ea7b3
hex2e1e20

3022368 has 48 divisors (see below), whose sum is σ = 8356320. Its totient is φ = 953856.

The previous prime is 3022363. The next prime is 3022373. The reversal of 3022368 is 8632203.

It is an interprime number because it is at equal distance from previous prime (3022363) and next prime (3022373).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3022363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 996 + ... + 2652.

It is an arithmetic number, because the mean of its divisors is an integer number (174090).

Almost surely, 23022368 is an apocalyptic number.

3022368 is a gapful number since it is divisible by the number (38) 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 3022368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178160).

3022368 is an abundant number, since it is smaller than the sum of its proper divisors (5333952).

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

3022368 is a wasteful number, since it uses less digits than its factorization.

3022368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1681 counting only the distinct ones).

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

The square root of 3022368 is about 1738.4959016345. The cubic root of 3022368 is about 144.5825169353.

The spelling of 3022368 in words is "three million, twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1657 1824 3314 4971 6628 9942 13256 19884 26512 31483 39768 53024 62966 79536 94449 125932 159072 188898 251864 377796 503728 755592 1007456 1511184 3022368