Search a number
-
+
3039924 = 2231967199
BaseRepresentation
bin1011100110001010110100
312201102222210
423212022310
51234234144
6145053420
734560516
oct13461264
95642883
103039924
111796a38
121027270
13825894
14591bb6
15400ab9
hex2e62b4

3039924 has 48 divisors (see below), whose sum is σ = 7616000. Its totient is φ = 940896.

The previous prime is 3039919. The next prime is 3039929. The reversal of 3039924 is 4299303.

3039924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3039919) and next prime (3039929).

It is a super-2 number, since 2×30399242 = 18482275851552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3039891 and 3039900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3039929) by changing a digit.

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, 15177 + ... + 15375.

Almost surely, 23039924 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 3039924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808000).

3039924 is an abundant number, since it is smaller than the sum of its proper divisors (4576076).

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

3039924 is a wasteful number, since it uses less digits than its factorization.

3039924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3039924 is about 1743.5377827853. The cubic root of 3039924 is about 144.8619216660.

The spelling of 3039924 in words is "three million, thirty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 199 201 228 268 398 402 597 796 804 1194 1273 2388 2546 3781 3819 5092 7562 7638 11343 13333 15124 15276 22686 26666 39999 45372 53332 79998 159996 253327 506654 759981 1013308 1519962 3039924