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3424505320 = 2354110919157
BaseRepresentation
bin1100110000011101…
…1100110111101000
322211122210220011101
43030013130313220
524003133132240
61323451011144
7150601546345
oct31407346750
98748726141
103424505320
1114a8053595
127b6a39ab4
13427625b12
14246b497cc
1515099839a
hexcc1dcde8

3424505320 has 64 divisors (see below), whose sum is σ = 7965896400. Its totient is φ = 1324062720.

The previous prime is 3424505297. The next prime is 3424505333. The reversal of 3424505320 is 235054243.

It can be written as a sum of positive squares in 8 ways, for example, as 174821284 + 3249684036 = 13222^2 + 57006^2 .

It is an unprimeable number.

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, 169182 + ... + 188338.

Almost surely, 23424505320 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 3424505320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982948200).

3424505320 is an abundant number, since it is smaller than the sum of its proper divisors (4541391080).

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

3424505320 is a wasteful number, since it uses less digits than its factorization.

3424505320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19318 (or 19314 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 3424505320 is about 58519.2730645212. The cubic root of 3424505320 is about 1507.2985513161.

Adding to 3424505320 its reverse (235054243), we get a palindrome (3659559563).

The spelling of 3424505320 in words is "three billion, four hundred twenty-four million, five hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 109 164 205 218 328 410 436 545 820 872 1090 1640 2180 4360 4469 8938 17876 19157 22345 35752 38314 44690 76628 89380 95785 153256 178760 191570 383140 766280 785437 1570874 2088113 3141748 3927185 4176226 6283496 7854370 8352452 10440565 15708740 16704904 20881130 31417480 41762260 83524520 85612633 171225266 342450532 428063165 684901064 856126330 1712252660 3424505320