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3140530200 = 2332529717987
BaseRepresentation
bin1011101100110000…
…1011000000011000
322002212110110112100
42323030023000120
522412433431300
61235344243400
7140553031503
oct27314130030
98085413470
103140530200
111371824905
12737910560
133b0848cc2
1421b14813a
15135aa2700
hexbb30b018

3140530200 has 144 divisors (see below), whose sum is σ = 10656271080. Its totient is φ = 828794880.

The previous prime is 3140530199. The next prime is 3140530229. The reversal of 3140530200 is 20350413.

3140530200 is a `hidden beast` number, since 31 + 405 + 30 + 200 = 666.

It is a super-2 number, since 2×31405302002 = 19725859874224080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165607 + ... + 183593.

Almost surely, 23140530200 is an apocalyptic number.

3140530200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328135540).

3140530200 is an abundant number, since it is smaller than the sum of its proper divisors (7515740880).

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

3140530200 is a wasteful number, since it uses less digits than its factorization.

3140530200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18106 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3140530200 is about 56040.4336171661. The cubic root of 3140530200 is about 1464.4267657557.

Adding to 3140530200 its reverse (20350413), we get a palindrome (3160880613).

The spelling of 3140530200 in words is "three billion, one hundred forty million, five hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 97 100 120 150 180 194 200 225 291 300 360 388 450 485 582 600 776 873 900 970 1164 1455 1746 1800 1940 2328 2425 2910 3492 3880 4365 4850 5820 6984 7275 8730 9700 11640 14550 17460 17987 19400 21825 29100 34920 35974 43650 53961 58200 71948 87300 89935 107922 143896 161883 174600 179870 215844 269805 323766 359740 431688 449675 539610 647532 719480 809415 899350 1079220 1295064 1349025 1618830 1744739 1798700 2158440 2698050 3237660 3489478 3597400 4047075 5234217 5396100 6475320 6978956 8094150 8723695 10468434 10792200 13957912 15702651 16188300 17447390 20936868 26171085 31405302 32376600 34894780 41873736 43618475 52342170 62810604 69789560 78513255 87236950 104684340 125621208 130855425 157026510 174473900 209368680 261710850 314053020 348947800 392566275 523421700 628106040 785132550 1046843400 1570265100 3140530200