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1034143104 = 2736014481
BaseRepresentation
bin111101101000111…
…100010110000000
32200001220220122110
4331220330112000
54104220034404
6250341135320
734425033321
oct7550742600
92601826573
101034143104
11490824025
1224a3ba540
13136332bc7
149b4b8448
1560bc7b89
hex3da3c580

1034143104 has 64 divisors (see below), whose sum is σ = 2752127280. Its totient is φ = 344064000.

The previous prime is 1034143063. The next prime is 1034143111. The reversal of 1034143104 is 4013414301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228544 + ... + 233024.

Almost surely, 21034143104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376063640).

1034143104 is an abundant number, since it is smaller than the sum of its proper divisors (1717984176).

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

1034143104 is an equidigital number, since it uses as much as digits as its factorization.

1034143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1034143104 is about 32158.0954659943. The cubic root of 1034143104 is about 1011.2539090925.

Adding to 1034143104 its reverse (4013414301), we get a palindrome (5047557405).

The spelling of 1034143104 in words is "one billion, thirty-four million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 601 1202 1803 2404 3606 4481 4808 7212 8962 9616 13443 14424 17924 19232 26886 28848 35848 38464 53772 57696 71696 76928 107544 115392 143392 215088 230784 286784 430176 573568 860352 1720704 2693081 5386162 8079243 10772324 16158486 21544648 32316972 43089296 64633944 86178592 129267888 172357184 258535776 344714368 517071552 1034143104