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3440130000 = 24354114671
BaseRepresentation
bin1100110100001100…
…0011011111010000
322212202012201012020
43031003003133100
524021133130000
61325205531440
7151151423346
oct31503033720
98782181166
103440130000
11150595564a
12800113b80
1342a9368a8
14248c55996
15152032ba0
hexcd0c37d0

3440130000 has 100 divisors (see below), whose sum is σ = 11105295168. Its totient is φ = 917360000.

The previous prime is 3440129999. The next prime is 3440130007. The reversal of 3440130000 is 310443.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440130007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27336 + ... + 87335.

Almost surely, 23440130000 is an apocalyptic number.

3440130000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3440130000 is an abundant number, since it is smaller than the sum of its proper divisors (7665165168).

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

3440130000 is a wasteful number, since it uses less digits than its factorization.

3440130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114702 (or 114681 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3440130000 is about 58652.6214247923. The cubic root of 3440130000 is about 1509.5874784998.

Adding to 3440130000 its reverse (310443), we get a palindrome (3440440443).

The spelling of 3440130000 in words is "three billion, four hundred forty million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 114671 229342 344013 458684 573355 688026 917368 1146710 1376052 1720065 1834736 2293420 2752104 2866775 3440130 4586840 5504208 5733550 6880260 8600325 9173680 11467100 13760520 14333875 17200650 22934200 27521040 28667750 34401300 43001625 45868400 57335500 68802600 71669375 86003250 114671000 137605200 143338750 172006500 215008125 229342000 286677500 344013000 430016250 573355000 688026000 860032500 1146710000 1720065000 3440130000