Search a number
-
+
1034020404 = 22352936683
BaseRepresentation
bin111101101000011…
…110011000110100
32200001200200100000
4331220132120310
54104202123104
6250334351300
734424012514
oct7550363064
92601620300
101034020404
1149074a91a
1224a35b530
131362bc0c1
149b485844
1560ba1639
hex3da1e634

1034020404 has 72 divisors (see below), whose sum is σ = 2804124960. Its totient is φ = 332779104.

The previous prime is 1034020321. The next prime is 1034020409. The reversal of 1034020404 is 4040204301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034020409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9847 + ... + 46529.

It is an arithmetic number, because the mean of its divisors is an integer number (38946180).

Almost surely, 21034020404 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 1034020404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402062480).

1034020404 is an abundant number, since it is smaller than the sum of its proper divisors (1770104556).

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

1034020404 is a wasteful number, since it uses less digits than its factorization.

1034020404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36731 (or 36717 counting only the distinct ones).

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

The square root of 1034020404 is about 32156.1876471699. The cubic root of 1034020404 is about 1011.2139127703.

Adding to 1034020404 its reverse (4040204301), we get a palindrome (5074224705).

The spelling of 1034020404 in words is "one billion, thirty-four million, twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 2349 3132 4698 7047 9396 14094 28188 36683 73366 110049 146732 220098 330147 440196 660294 990441 1063807 1320588 1980882 2127614 2971323 3191421 3961764 4255228 5942646 6382842 8913969 9574263 11885292 12765684 17827938 19148526 28722789 35655876 38297052 57445578 86168367 114891156 172336734 258505101 344673468 517010202 1034020404