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3320790 = 2351129347
BaseRepresentation
bin1100101010101111010110
320020201021020
430222233112
51322231130
6155102010
740140414
oct14525726
96221236
103320790
111968a60
121141906
138c3685
146262b4
15458e10
hex32abd6

3320790 has 64 divisors (see below), whose sum is σ = 9020160. Its totient is φ = 775040.

The previous prime is 3320777. The next prime is 3320791. The reversal of 3320790 is 970233.

It is a super-2 number, since 2×33207902 = 22055292448200, which contains 22 as substring.

It is a d-powerful number, because it can be written as 313 + 313 + 217 + 0 + 73 + 93 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 3320790.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320791) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9397 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (140940).

Almost surely, 23320790 is an apocalyptic number.

3320790 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 3320790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510080).

3320790 is an abundant number, since it is smaller than the sum of its proper divisors (5699370).

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

3320790 is a wasteful number, since it uses less digits than its factorization.

3320790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 3320790 is about 1822.3034873478. The cubic root of 3320790 is about 149.1925501866.

The spelling of 3320790 in words is "three million, three hundred twenty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 347 435 638 694 870 957 1041 1595 1735 1914 2082 3190 3470 3817 4785 5205 7634 9570 10063 10410 11451 19085 20126 22902 30189 38170 50315 57255 60378 100630 110693 114510 150945 221386 301890 332079 553465 664158 1106930 1660395 3320790