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3013434000 = 243253167413
BaseRepresentation
bin1011001110011101…
…0101101010010000
321210000022022022200
42303213111222100
522132414342000
61215004203200
7134450523603
oct26347255220
97700268280
103013434000
111307006625
12701239500
13390409155
1420830233a
15129849500
hexb39d5a90

3013434000 has 120 divisors (see below), whose sum is σ = 10524983352. Its totient is φ = 803577600.

The previous prime is 3013433989. The next prime is 3013434089. The reversal of 3013434000 is 4343103.

3013434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 2995591824 = 4224^2 + 54732^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65707 + ... + 101706.

Almost surely, 23013434000 is an apocalyptic number.

3013434000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3013434000 is an abundant number, since it is smaller than the sum of its proper divisors (7511549352).

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

3013434000 is a wasteful number, since it uses less digits than its factorization.

3013434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167442 (or 167423 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3013434000 is about 54894.7538477039. The cubic root of 3013434000 is about 1444.3991627269.

Adding to 3013434000 its reverse (4343103), we get a palindrome (3017777103).

The spelling of 3013434000 in words is "three billion, thirteen million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 167413 334826 502239 669652 837065 1004478 1339304 1506717 1674130 2008956 2511195 2678608 3013434 3348260 4017912 4185325 5022390 6026868 6696520 7533585 8035824 8370650 10044780 12053736 12555975 13393040 15067170 16741300 20089560 20926625 24107472 25111950 30134340 33482600 37667925 40179120 41853250 50223900 60268680 62779875 66965200 75335850 83706500 100447800 120537360 125559750 150671700 167413000 188339625 200895600 251119500 301343400 334826000 376679250 502239000 602686800 753358500 1004478000 1506717000 3013434000