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3442424550 = 2352131239733
BaseRepresentation
bin1100110100101111…
…0011101011100110
322212220112021201120
43031023303223212
524022230041200
61325331034410
7151210061115
oct31513635346
98786467646
103442424550
111507182574
12800a3ba06
1342b25b106
14249291c7c
151523379a0
hexcd2f3ae6

3442424550 has 96 divisors (see below), whose sum is σ = 8650160640. Its totient is φ = 905923200.

The previous prime is 3442424549. The next prime is 3442424591. The reversal of 3442424550 is 554242443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4695984 + ... + 4696716.

It is an arithmetic number, because the mean of its divisors is an integer number (90105840).

Almost surely, 23442424550 is an apocalyptic number.

3442424550 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 3442424550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325080320).

3442424550 is an abundant number, since it is smaller than the sum of its proper divisors (5207736090).

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

3442424550 is a wasteful number, since it uses less digits than its factorization.

3442424550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The square root of 3442424550 is about 58672.1786709851. The cubic root of 3442424550 is about 1509.9230330783.

Adding to 3442424550 its reverse (554242443), we get a palindrome (3996666993).

The spelling of 3442424550 in words is "three billion, four hundred forty-two million, four hundred twenty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 131 150 239 262 393 478 655 717 733 786 1195 1310 1434 1466 1965 2199 2390 3275 3585 3665 3930 4398 5975 6550 7170 7330 9825 10995 11950 17925 18325 19650 21990 31309 35850 36650 54975 62618 93927 96023 109950 156545 175187 187854 192046 288069 313090 350374 469635 480115 525561 576138 782725 875935 939270 960230 1051122 1440345 1565450 1751870 2348175 2400575 2627805 2880690 4379675 4696350 4801150 5255610 7201725 8759350 13139025 14403450 22949497 26278050 45898994 68848491 114747485 137696982 229494970 344242455 573737425 688484910 1147474850 1721212275 3442424550