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3428730 = 23551783
BaseRepresentation
bin1101000101000101111010
320110012100000
431011011322
51334204410
6201253430
741100204
oct15050572
96405300
103428730
111a32068
121194276
13930846
14653774
1547adc0
hex34517a

3428730 has 96 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 850176.

The previous prime is 3428717. The next prime is 3428743. The reversal of 3428730 is 378243.

3428730 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 (3428717) and next prime (3428743).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3428694 and 3428703.

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 47 ways as a sum of consecutive naturals, for example, 41269 + ... + 41351.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

Almost surely, 23428730 is an apocalyptic number.

3428730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3428730 is an abundant number, since it is smaller than the sum of its proper divisors (6477894).

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

3428730 is a wasteful number, since it uses less digits than its factorization.

3428730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3428730 is about 1851.6830182296. The cubic root of 3428730 is about 150.7918128613.

The spelling of 3428730 in words is "three million, four hundred twenty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 83 85 90 102 135 153 162 166 170 243 249 255 270 306 405 415 459 486 498 510 747 765 810 830 918 1215 1245 1377 1411 1494 1530 2241 2295 2430 2490 2754 2822 3735 4131 4233 4482 4590 6723 6885 7055 7470 8262 8466 11205 12699 13446 13770 14110 20169 20655 21165 22410 25398 33615 38097 40338 41310 42330 63495 67230 76194 100845 114291 126990 190485 201690 228582 342873 380970 571455 685746 1142910 1714365 3428730