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1034220040 = 235729671901
BaseRepresentation
bin111101101001001…
…111001000001000
32200002001211011221
4331221033020020
54104230020130
6250342531424
734425503530
oct7551171010
92602054157
101034220040
11490876907
1224a436b74
1313635bc29
149b4d84c0
1560be087a
hex3da4f208

1034220040 has 128 divisors (see below), whose sum is σ = 2793657600. Its totient is φ = 337075200.

The previous prime is 1034220023. The next prime is 1034220071. The reversal of 1034220040 is 400224301.

It is a super-2 number, since 2×10342200402 = 2139222182275203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034219996 and 1034220023.

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, 543090 + ... + 544990.

It is an arithmetic number, because the mean of its divisors is an integer number (21825450).

Almost surely, 21034220040 is an apocalyptic number.

1034220040 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 1034220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396828800).

1034220040 is an abundant number, since it is smaller than the sum of its proper divisors (1759437560).

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

1034220040 is a wasteful number, since it uses less digits than its factorization.

1034220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1034220040 is about 32159.2916588659. The cubic root of 1034220040 is about 1011.2789861833.

Adding to 1034220040 its reverse (400224301), we get a palindrome (1434444341).

The spelling of 1034220040 in words is "one billion, thirty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 67 70 116 134 140 145 203 232 268 280 290 335 406 469 536 580 670 812 938 1015 1160 1340 1624 1876 1901 1943 2030 2345 2680 3752 3802 3886 4060 4690 7604 7772 8120 9380 9505 9715 13307 13601 15208 15544 18760 19010 19430 26614 27202 38020 38860 53228 54404 55129 66535 68005 76040 77720 106456 108808 110258 127367 133070 136010 220516 254734 266140 272020 275645 385903 441032 509468 532280 544040 551290 636835 771806 891569 1018936 1102580 1273670 1543612 1783138 1929515 2205160 2547340 3087224 3566276 3693643 3859030 4457845 5094680 7132552 7387286 7718060 8915690 14774572 15436120 17831380 18468215 25855501 29549144 35662760 36936430 51711002 73872860 103422004 129277505 147745720 206844008 258555010 517110020 1034220040