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834440000 = 265423907
BaseRepresentation
bin110001101111001…
…000101101000000
32011011010221111012
4301233020231000
53202104040000
6214444540052
726451423452
oct6157105500
92134127435
10834440000
11399024139
121b3551628
13103b50aa4
147cb722d2
154d3cb735
hex31bc8b40

834440000 has 140 divisors (see below), whose sum is σ = 2161483104. Its totient is φ = 318912000.

The previous prime is 834439999. The next prime is 834440027. The reversal of 834440000 is 44438.

It is a super-2 number, since 2×8344400002 = 1392580227200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 19 ways as a sum of consecutive naturals, for example, 919547 + ... + 920453.

Almost surely, 2834440000 is an apocalyptic number.

834440000 is a gapful number since it is divisible by the number (80) 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 834440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080741552).

834440000 is an abundant number, since it is smaller than the sum of its proper divisors (1327043104).

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

834440000 is an equidigital number, since it uses as much as digits as its factorization.

834440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 834440000 is about 28886.6751288548. The cubic root of 834440000 is about 941.4524098995.

Adding to 834440000 its reverse (44438), we get a palindrome (834484438).

The spelling of 834440000 in words is "eight hundred thirty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 625 736 800 907 920 1000 1150 1250 1472 1600 1814 1840 2000 2300 2500 2875 3628 3680 4000 4535 4600 5000 5750 7256 7360 8000 9070 9200 10000 11500 14375 14512 18140 18400 20000 20861 22675 23000 28750 29024 36280 36800 40000 41722 45350 46000 57500 58048 72560 83444 90700 92000 104305 113375 115000 145120 166888 181400 184000 208610 226750 230000 290240 333776 362800 417220 453500 460000 521525 566875 667552 725600 834440 907000 920000 1043050 1133750 1335104 1451200 1668880 1814000 2086100 2267500 2607625 3337760 3628000 4172200 4535000 5215250 6675520 7256000 8344400 9070000 10430500 13038125 16688800 18140000 20861000 26076250 33377600 36280000 41722000 52152500 83444000 104305000 166888000 208610000 417220000 834440000