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3424123344 = 243238934849
BaseRepresentation
bin1100110000010111…
…1111100111010000
322211122002111012010
43030011333213100
524003033421334
61323434502520
7150565365615
oct31405774720
98748074163
103424123344
1114a7912604
127b6894a40
13427520cb5
14246a8a50c
151509200e9
hexcc17f9d0

3424123344 has 80 divisors (see below), whose sum is σ = 9334224000. Its totient is φ = 1079451648.

The previous prime is 3424123343. The next prime is 3424123349. The reversal of 3424123344 is 4433214243.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424123343) 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, 80832 + ... + 115680.

It is an arithmetic number, because the mean of its divisors is an integer number (116677800).

Almost surely, 23424123344 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 3424123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667112000).

3424123344 is an abundant number, since it is smaller than the sum of its proper divisors (5910100656).

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

3424123344 is a wasteful number, since it uses less digits than its factorization.

3424123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34972 (or 34966 counting only the distinct ones).

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

The square root of 3424123344 is about 58516.0092966019. The cubic root of 3424123344 is about 1507.2425068926.

Adding to 3424123344 its reverse (4433214243), we get a palindrome (7857337587).

The spelling of 3424123344 in words is "three billion, four hundred twenty-four million, one hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 534 552 712 1068 1104 1424 2047 2136 4094 4272 6141 8188 12282 16376 24564 32752 34849 49128 69698 98256 104547 139396 209094 278792 418188 557584 801527 836376 1603054 1672752 2404581 3101561 3206108 4809162 6203122 6412216 9304683 9618324 12406244 12824432 18609366 19236648 24812488 37218732 38473296 49624976 71335903 74437464 142671806 148874928 214007709 285343612 428015418 570687224 856030836 1141374448 1712061672 3424123344