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3034415104 = 215713229
BaseRepresentation
bin1011010011011101…
…1000000000000000
321211110210020222121
42310313120000000
522203302240404
61221034014024
7135124050160
oct26467300000
97743706877
103034415104
111317936a86
12708277314
13394873cc6
1420b0045a0
1512b5e0e54
hexb4dd8000

3034415104 has 64 divisors (see below), whose sum is σ = 6936224400. Its totient is φ = 1300365312.

The previous prime is 3034415101. The next prime is 3034415173. The reversal of 3034415104 is 4015144303.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034415101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 222762 + ... + 235990.

Almost surely, 23034415104 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 3034415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468112200).

3034415104 is an abundant number, since it is smaller than the sum of its proper divisors (3901809296).

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

3034415104 is an frugal number, since it uses more digits than its factorization.

3034415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266 (or 13238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3034415104 is about 55085.5253583008. The cubic root of 3034415104 is about 1447.7436335812.

Adding to 3034415104 its reverse (4015144303), we get a palindrome (7049559407).

The spelling of 3034415104 in words is "three billion, thirty-four million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 13229 14336 16384 26458 28672 32768 52916 57344 92603 105832 114688 185206 211664 229376 370412 423328 740824 846656 1481648 1693312 2963296 3386624 5926592 6773248 11853184 13546496 23706368 27092992 47412736 54185984 94825472 108371968 189650944 216743936 379301888 433487872 758603776 1517207552 3034415104