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3430728 = 233372269
BaseRepresentation
bin1101000101100101001000
320110022002000
431011211020
51334240403
6201311000
741106060
oct15054510
96408060
103430728
111a33614
121195460
13931722
146543a0
1547b7a3
hex345948

3430728 has 64 divisors (see below), whose sum is σ = 10896000. Its totient is φ = 979776.

The previous prime is 3430727. The next prime is 3430771. The reversal of 3430728 is 8270343.

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

It is not an unprimeable number, because it can be changed into a prime (3430727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378 + ... + 2646.

It is an arithmetic number, because the mean of its divisors is an integer number (170250).

Almost surely, 23430728 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 3430728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448000).

3430728 is an abundant number, since it is smaller than the sum of its proper divisors (7465272).

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

3430728 is a wasteful number, since it uses less digits than its factorization.

3430728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2281 counting only the distinct ones).

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

The square root of 3430728 is about 1852.2224488436. Note that the first 3 decimals coincide. The cubic root of 3430728 is about 150.8210971288.

The spelling of 3430728 in words is "three million, four hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2269 4538 6807 9076 13614 15883 18152 20421 27228 31766 40842 47649 54456 61263 63532 81684 95298 122526 127064 142947 163368 190596 245052 285894 381192 428841 490104 571788 857682 1143576 1715364 3430728