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1034143000 = 235311412293
BaseRepresentation
bin111101101000111…
…100010100011000
32200001220220111121
4331220330110120
54104220034000
6250341135024
734425033112
oct7550742430
92601826447
101034143000
11490823a40
1224a3ba474
13136332b47
149b4b83b2
1560bc7b1a
hex3da3c518

1034143000 has 128 divisors (see below), whose sum is σ = 2705451840. Its totient is φ = 366720000.

The previous prime is 1034142983. The next prime is 1034143027. The reversal of 1034143000 is 3414301.

1034143000 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449854 + ... + 452146.

Almost surely, 21034143000 is an apocalyptic number.

1034143000 is a gapful number since it is divisible by the number (10) 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 1034143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352725920).

1034143000 is an abundant number, since it is smaller than the sum of its proper divisors (1671308840).

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

1034143000 is a wasteful number, since it uses less digits than its factorization.

1034143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1034143000 is about 32158.0938489830. The cubic root of 1034143000 is about 1011.2538751931.

Adding to 1034143000 its reverse (3414301), we get a palindrome (1037557301).

The spelling of 1034143000 in words is "one billion, thirty-four million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 820 902 1000 1025 1100 1375 1640 1804 2050 2200 2255 2293 2750 3608 4100 4510 4586 5125 5500 8200 9020 9172 10250 11000 11275 11465 18040 18344 20500 22550 22930 25223 41000 45100 45860 50446 56375 57325 90200 91720 94013 100892 112750 114650 126115 188026 201784 225500 229300 252230 286625 376052 451000 458600 470065 504460 573250 630575 752104 940130 1008920 1034143 1146500 1261150 1880260 2068286 2293000 2350325 2522300 3152875 3760520 4136572 4700650 5044600 5170715 6305750 8273144 9401300 10341430 11751625 12611500 18802600 20682860 23503250 25223000 25853575 41365720 47006500 51707150 94013000 103414300 129267875 206828600 258535750 517071500 1034143000