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3370928 = 2411107179
BaseRepresentation
bin1100110110111110110000
320100021001012
430312332300
51330332203
6200130052
740436531
oct14667660
96307035
103370928
1119a26a0
121166928
13910442
1463a688
15468bd8
hex336fb0

3370928 has 40 divisors (see below), whose sum is σ = 7231680. Its totient is φ = 1509440.

The previous prime is 3370919. The next prime is 3370933. The reversal of 3370928 is 8290733.

It is a super-2 number, since 2×33709282 = 22726311162368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3370894 and 3370903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18743 + ... + 18921.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

Almost surely, 23370928 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 3370928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615840).

3370928 is an abundant number, since it is smaller than the sum of its proper divisors (3860752).

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

3370928 is a wasteful number, since it uses less digits than its factorization.

3370928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 3370928 is about 1836.0087145763. The cubic root of 3370928 is about 149.9396497963.

Subtracting from 3370928 its sum of digits (32), we obtain a square (3370896 = 18362).

The spelling of 3370928 in words is "three million, three hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 179 214 358 428 716 856 1177 1432 1712 1969 2354 2864 3938 4708 7876 9416 15752 18832 19153 31504 38306 76612 153224 210683 306448 421366 842732 1685464 3370928