Search a number
-
+
3130046064 = 24361272113
BaseRepresentation
bin1011101010010000…
…1011011001110000
322002010201211000000
42322210023121300
522402242433224
61234331430000
7140364644505
oct27244133160
98063654000
103130046064
111366913a32
127342b5300
133ab617c82
142199b94ac
15134bd10c9
hexba90b670

3130046064 has 140 divisors (see below), whose sum is σ = 9168468736. Its totient is φ = 1034643456.

The previous prime is 3130046041. The next prime is 3130046081. The reversal of 3130046064 is 4606400313.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1480272 + ... + 1482384.

Almost surely, 23130046064 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 3130046064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584234368).

3130046064 is an abundant number, since it is smaller than the sum of its proper divisors (6038422672).

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

3130046064 is a wasteful number, since it uses less digits than its factorization.

3130046064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3130046064 is about 55946.8146010119. The cubic root of 3130046064 is about 1462.7953675623.

Adding to 3130046064 its reverse (4606400313), we get a palindrome (7736446377).

The spelling of 3130046064 in words is "three billion, one hundred thirty million, forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 243 254 324 381 432 486 508 648 729 762 972 1016 1143 1296 1458 1524 1944 2032 2113 2286 2916 3048 3429 3888 4226 4572 5832 6096 6339 6858 8452 9144 10287 11664 12678 13716 16904 18288 19017 20574 25356 27432 30861 33808 38034 41148 50712 54864 57051 61722 76068 82296 92583 101424 114102 123444 152136 164592 171153 185166 228204 246888 268351 304272 342306 370332 456408 493776 513459 536702 684612 740664 805053 912816 1026918 1073404 1369224 1481328 1540377 1610106 2053836 2146808 2415159 2738448 3080754 3220212 4107672 4293616 4830318 6161508 6440424 7245477 8215344 9660636 12323016 12880848 14490954 19321272 21736431 24646032 28981908 38642544 43472862 57963816 65209293 86945724 115927632 130418586 173891448 195627879 260837172 347782896 391255758 521674344 782511516 1043348688 1565023032 3130046064