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3034824 = 2331371137
BaseRepresentation
bin1011100100111011001000
312201011222220
423210323020
51234103244
6145014040
734536612
oct13447310
95634886
103034824
111793121
121024320
13823470
1458ddb2
153ee319
hex2e4ec8

3034824 has 64 divisors (see below), whose sum is σ = 8346240. Its totient is φ = 913920.

The previous prime is 3034819. The next prime is 3034831. The reversal of 3034824 is 4284303.

3034824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3034794 and 3034803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22084 + ... + 22220.

It is an arithmetic number, because the mean of its divisors is an integer number (130410).

Almost surely, 23034824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173120).

3034824 is an abundant number, since it is smaller than the sum of its proper divisors (5311416).

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

3034824 is a wasteful number, since it uses less digits than its factorization.

3034824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3034824 is about 1742.0746252672. The cubic root of 3034824 is about 144.7808659841.

The spelling of 3034824 in words is "three million, thirty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 137 142 156 213 274 284 312 411 426 548 568 822 852 923 1096 1644 1704 1781 1846 2769 3288 3562 3692 5343 5538 7124 7384 9727 10686 11076 14248 19454 21372 22152 29181 38908 42744 58362 77816 116724 126451 233448 252902 379353 505804 758706 1011608 1517412 3034824