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3428124 = 2237371103
BaseRepresentation
bin1101000100111100011100
320110011111120
431010330130
51334144444
6201250540
741065350
oct15047434
96404446
103428124
111a31667
121193a50
1393049b
14653460
1547ab19
hex344f1c

3428124 has 48 divisors (see below), whose sum is σ = 9397248. Its totient is φ = 952128.

The previous prime is 3428099. The next prime is 3428137. The reversal of 3428124 is 4218243.

3428124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3428094 and 3428103.

It is a congruent number.

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, 2557 + ... + 3659.

It is an arithmetic number, because the mean of its divisors is an integer number (195776).

Almost surely, 23428124 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 3428124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698624).

3428124 is an abundant number, since it is smaller than the sum of its proper divisors (5969124).

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

3428124 is a wasteful number, since it uses less digits than its factorization.

3428124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1152 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3428124 is about 1851.5193760801. The cubic root of 3428124 is about 150.7829285977.

The spelling of 3428124 in words is "three million, four hundred twenty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1103 1554 2206 3108 3309 4412 6618 7721 13236 15442 23163 30884 40811 46326 81622 92652 122433 163244 244866 285677 489732 571354 857031 1142708 1714062 3428124