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3426043440 = 2435127112403
BaseRepresentation
bin1100110000110101…
…0100011000110000
322211202201001001210
43030031110120300
524004031342230
61323544000120
7150620613561
oct31415243060
98752631053
103426043440
1114a8a04166
127b7460040
13427a43c51
1424702a168
15150b9deb0
hexcc354630

3426043440 has 80 divisors (see below), whose sum is σ = 10704457728. Its totient is φ = 906409728.

The previous prime is 3426043421. The next prime is 3426043457. The reversal of 3426043440 is 443406243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3426043398 and 3426043407.

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 15 ways as a sum of consecutive naturals, for example, 25722 + ... + 86681.

Almost surely, 23426043440 is an apocalyptic number.

3426043440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3426043440 is an abundant number, since it is smaller than the sum of its proper divisors (7278414288).

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

3426043440 is a wasteful number, since it uses less digits than its factorization.

3426043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112546 (or 112540 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3426043440 is about 58532.4135842697. The cubic root of 3426043440 is about 1507.5241857570.

Adding to 3426043440 its reverse (443406243), we get a palindrome (3869449683).

The spelling of 3426043440 in words is "three billion, four hundred twenty-six million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 15240 30480 112403 224806 337209 449612 562015 674418 899224 1124030 1348836 1686045 1798448 2248060 2697672 3372090 4496120 5395344 6744180 8992240 13488360 14275181 26976720 28550362 42825543 57100724 71375905 85651086 114201448 142751810 171302172 214127715 228402896 285503620 342604344 428255430 571007240 685208688 856510860 1142014480 1713021720 3426043440