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3423440320 = 26533132321
BaseRepresentation
bin1100110000001101…
…1000110111000000
322211120210210020221
43030003120313000
524002400042240
61323412112424
7150556522366
oct31403306700
98746723227
103423440320
1114a7496423
127b6605714
13427342141
1424694d636
15150837a4a
hexcc0d8dc0

3423440320 has 56 divisors (see below), whose sum is σ = 8176948848. Its totient is φ = 1365196800.

The previous prime is 3423440287. The next prime is 3423440323. The reversal of 3423440320 is 230443243.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423440323) 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 7 ways as a sum of consecutive naturals, for example, 89760 + ... + 122080.

Almost surely, 23423440320 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 3423440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088474424).

3423440320 is an abundant number, since it is smaller than the sum of its proper divisors (4753508528).

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

3423440320 is a wasteful number, since it uses less digits than its factorization.

3423440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32669 (or 32659 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3423440320 is about 58510.1727907208. The cubic root of 3423440320 is about 1507.1422816026.

Adding to 3423440320 its reverse (230443243), we get a palindrome (3653883563).

The spelling of 3423440320 in words is "three billion, four hundred twenty-three million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 331 662 1324 1655 2648 3310 5296 6620 10592 13240 21184 26480 32321 52960 64642 105920 129284 161605 258568 323210 517136 646420 1034272 1292840 2068544 2585680 5171360 10342720 10698251 21396502 42793004 53491255 85586008 106982510 171172016 213965020 342344032 427930040 684688064 855860080 1711720160 3423440320