Search a number
-
+
3370728 = 233292167
BaseRepresentation
bin1100110110111011101000
320100020202210
430312323220
51330330403
6200125120
740436124
oct14667350
96306683
103370728
1119a2529
1211667a0
1391031a
1463a584
15468b03
hex336ee8

3370728 has 48 divisors (see below), whose sum is σ = 8779680. Its totient is φ = 1078336.

The previous prime is 3370711. The next prime is 3370739. The reversal of 3370728 is 8270733.

It is a super-2 number, since 2×33707282 = 22723614499968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3370695 and 3370704.

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 11 ways as a sum of consecutive naturals, for example, 20101 + ... + 20267.

It is an arithmetic number, because the mean of its divisors is an integer number (182910).

Almost surely, 23370728 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 3370728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389840).

3370728 is an abundant number, since it is smaller than the sum of its proper divisors (5408952).

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

3370728 is a wasteful number, since it uses less digits than its factorization.

3370728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3370728 is about 1835.9542477960. The cubic root of 3370728 is about 149.9366843891.

The spelling of 3370728 in words is "three million, three hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 167 174 232 334 348 501 668 696 841 1002 1336 1682 2004 2523 3364 4008 4843 5046 6728 9686 10092 14529 19372 20184 29058 38744 58116 116232 140447 280894 421341 561788 842682 1123576 1685364 3370728