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3023824 = 241711117
BaseRepresentation
bin1011100010001111010000
312200121220111
423202033100
51233230244
6144451104
734462546
oct13421720
95617814
103023824
111785931
121019a94
1381b45b
14589d96
153eae34
hex2e23d0

3023824 has 20 divisors (see below), whose sum is σ = 6203844. Its totient is φ = 1422848.

The previous prime is 3023821. The next prime is 3023843. The reversal of 3023824 is 4283203.

It can be written as a sum of positive squares in 2 ways, for example, as 1281424 + 1742400 = 1132^2 + 1320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3023795 and 3023804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5287 + ... + 5830.

Almost surely, 23023824 is an apocalyptic number.

3023824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3023824 is an abundant number, since it is smaller than the sum of its proper divisors (3180020).

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

3023824 is a wasteful number, since it uses less digits than its factorization.

3023824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11142 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3023824 is about 1738.9146039987. The cubic root of 3023824 is about 144.6057303395.

The spelling of 3023824 in words is "three million, twenty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 11117 22234 44468 88936 177872 188989 377978 755956 1511912 3023824