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3038130504 = 233441173661
BaseRepresentation
bin1011010100010110…
…0011000101001000
321211201210000120000
42311011203011020
522210230134004
61221245403000
7135200453223
oct26505430510
97751700500
103038130504
111319a44462
12709569460
13395575176
1420b6d05ba
1512bac6c39
hexb5163148

3038130504 has 160 divisors (see below), whose sum is σ = 8780781240. Its totient is φ = 980812800.

The previous prime is 3038130499. The next prime is 3038130547. The reversal of 3038130504 is 4050318303.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2810060100 + 228070404 = 53010^2 + 15102^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4595934 + ... + 4596594.

Almost surely, 23038130504 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 3038130504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390390620).

3038130504 is an abundant number, since it is smaller than the sum of its proper divisors (5742650736).

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

3038130504 is a wasteful number, since it uses less digits than its factorization.

3038130504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3038130504 is about 55119.2389642673. The cubic root of 3038130504 is about 1448.3342749009.

Adding to 3038130504 its reverse (4050318303), we get a palindrome (7088448807).

The spelling of 3038130504 in words is "three billion, thirty-eight million, one hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 173 216 246 324 328 346 369 492 519 648 661 692 738 984 1038 1107 1322 1384 1476 1557 1983 2076 2214 2644 2952 3114 3321 3966 4152 4428 4671 5288 5949 6228 6642 7093 7932 8856 9342 11898 12456 13284 14013 14186 15864 17847 18684 21279 23796 26568 27101 28026 28372 35694 37368 42558 47592 53541 54202 56052 56744 63837 71388 81303 85116 107082 108404 112104 114353 127674 142776 162606 170232 191511 214164 216808 228706 243909 255348 325212 343059 383022 428328 457412 487818 510696 574533 650424 686118 731727 766044 914824 975636 1029177 1149066 1372236 1463454 1532088 1951272 2058354 2195181 2298132 2744472 2926908 3087531 4116708 4390362 4596264 4688473 5853816 6175062 8233416 8780724 9262593 9376946 12350124 14065419 17561448 18525186 18753892 24700248 28130838 37050372 37507784 42196257 56261676 74100744 84392514 112523352 126588771 168785028 253177542 337570056 379766313 506355084 759532626 1012710168 1519065252 3038130504