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3104441000 = 235313612281
BaseRepresentation
bin1011100100001010…
…0000001010101000
322000100112221110022
42321002200022220
522324214103000
61232014540012
7136634212253
oct27102401250
98010487408
103104441000
111353415521
12727807608
133a622154b
1421643209a
15132824585
hexb90a02a8

3104441000 has 64 divisors (see below), whose sum is σ = 7272916560. Its totient is φ = 1240320000.

The previous prime is 3104440987. The next prime is 3104441017. The reversal of 3104441000 is 1444013.

It can be written as a sum of positive squares in 8 ways, for example, as 7963684 + 3096477316 = 2822^2 + 55646^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3104441000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1359860 + ... + 1362140.

Almost surely, 23104441000 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 3104441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636458280).

3104441000 is an abundant number, since it is smaller than the sum of its proper divisors (4168475560).

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

3104441000 is a wasteful number, since it uses less digits than its factorization.

3104441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3104441000 is about 55717.5107125220. The cubic root of 3104441000 is about 1458.7956854179.

Adding to 3104441000 its reverse (1444013), we get a palindrome (3105885013).

The spelling of 3104441000 in words is "three billion, one hundred four million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1361 2281 2722 4562 5444 6805 9124 10888 11405 13610 18248 22810 27220 34025 45620 54440 57025 68050 91240 114050 136100 170125 228100 272200 285125 340250 456200 570250 680500 1140500 1361000 2281000 3104441 6208882 12417764 15522205 24835528 31044410 62088820 77611025 124177640 155222050 310444100 388055125 620888200 776110250 1552220500 3104441000