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1034220024 = 2332172232161
BaseRepresentation
bin111101101001001…
…111000111111000
32200002001211011100
4331221033013320
54104230020044
6250342531400
734425503505
oct7551170770
92602054140
101034220024
114908768a2
1224a436b60
1313635bc16
149b4d84ac
1560be0869
hex3da4f1f8

1034220024 has 144 divisors (see below), whose sum is σ = 3106275120. Its totient is φ = 310210560.

The previous prime is 1034220023. The next prime is 1034220071. The reversal of 1034220024 is 4200224301.

It is a super-2 number, since 2×10342200242 = 2139222116085121152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1034219979 and 1034220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034220023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 477504 + ... + 479664.

It is an arithmetic number, because the mean of its divisors is an integer number (21571355).

Almost surely, 21034220024 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 1034220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553137560).

1034220024 is an abundant number, since it is smaller than the sum of its proper divisors (2072055096).

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

1034220024 is a wasteful number, since it uses less digits than its factorization.

1034220024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1034220024 is about 32159.2914101042. The cubic root of 1034220024 is about 1011.2789809682.

Adding to 1034220024 its reverse (4200224301), we get a palindrome (5234444325).

The spelling of 1034220024 in words is "one billion, thirty-four million, two hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 289 306 391 408 414 552 578 612 782 828 867 1156 1173 1224 1564 1656 1734 2161 2312 2346 2601 3128 3468 3519 4322 4692 5202 6483 6647 6936 7038 8644 9384 10404 12966 13294 14076 17288 19449 19941 20808 25932 26588 28152 36737 38898 39882 49703 51864 53176 59823 73474 77796 79764 99406 110211 119646 146948 149109 155592 159528 198812 220422 239292 293896 298218 330633 397624 440844 447327 478584 596436 624529 661266 844951 881688 894654 1192872 1249058 1322532 1689902 1789308 1873587 2498116 2534853 2645064 3379804 3578616 3747174 4996232 5069706 5620761 6759608 7494348 7604559 10139412 11241522 14364167 14988696 15209118 20278824 22483044 28728334 30418236 43092501 44966088 57456668 60836472 86185002 114913336 129277503 172370004 258555006 344740008 517110012 1034220024