Search a number
-
+
3404303320 = 2351140918917
BaseRepresentation
bin1100101011101001…
…1000101111011000
322210020210112020011
43022322120233120
523433000201240
61321450011304
7150235046365
oct31272305730
98706715204
103404303320
111497705520
127b0116b34
134233a1782
142441ab46c
1514dd076ea
hexcae98bd8

3404303320 has 64 divisors (see below), whose sum is σ = 8376890400. Its totient is φ = 1234836480.

The previous prime is 3404303317. The next prime is 3404303327. The reversal of 3404303320 is 233034043.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3404303291 and 3404303300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404303327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170502 + ... + 189418.

Almost surely, 23404303320 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 3404303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188445200).

3404303320 is an abundant number, since it is smaller than the sum of its proper divisors (4972587080).

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

3404303320 is a wasteful number, since it uses less digits than its factorization.

3404303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19348 (or 19344 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 3404303320 is about 58346.4079442771. The cubic root of 3404303320 is about 1504.3287286483.

Adding to 3404303320 its reverse (233034043), we get a palindrome (3637337363).

The spelling of 3404303320 in words is "three billion, four hundred four million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 409 440 818 1636 2045 3272 4090 4499 8180 8998 16360 17996 18917 22495 35992 37834 44990 75668 89980 94585 151336 179960 189170 208087 378340 416174 756680 832348 1040435 1664696 2080870 4161740 7737053 8323480 15474106 30948212 38685265 61896424 77370530 85107583 154741060 170215166 309482120 340430332 425537915 680860664 851075830 1702151660 3404303320