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3045043664 = 2413192107379
BaseRepresentation
bin1011010101111111…
…1010110111010000
321212012210020121222
42311133322313100
522214012344124
61222053504212
7135313305215
oct26537726720
97765706558
103045043664
111322936413
1270b942068
13396b259b0
1420c5adb0c
1512c4e025e
hexb57fadd0

3045043664 has 120 divisors (see below), whose sum is σ = 6786128160. Its totient is φ = 1315512576.

The previous prime is 3045043627. The next prime is 3045043717. The reversal of 3045043664 is 4663405403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8034227 + ... + 8034605.

It is an arithmetic number, because the mean of its divisors is an integer number (56551068).

Almost surely, 23045043664 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 3045043664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393064080).

3045043664 is an abundant number, since it is smaller than the sum of its proper divisors (3741084496).

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

3045043664 is a wasteful number, since it uses less digits than its factorization.

3045043664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The square root of 3045043664 is about 55181.9142835766. The cubic root of 3045043664 is about 1449.4319874287.

The spelling of 3045043664 in words is "three billion, forty-five million, forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 107 152 208 214 247 304 361 379 428 494 722 758 856 988 1391 1444 1516 1712 1976 2033 2782 2888 3032 3952 4066 4693 4927 5564 5776 6064 7201 8132 9386 9854 11128 14402 16264 18772 19708 22256 26429 28804 32528 37544 38627 39416 40553 52858 57608 75088 77254 78832 81106 93613 105716 115216 136819 154508 162212 187226 211432 273638 309016 324424 374452 422864 502151 527189 547276 618032 648848 748904 770507 1004302 1054378 1094552 1497808 1541014 1778647 2008604 2108756 2189104 3082028 3557294 4017208 4217512 6164056 7114588 8034416 8435024 10016591 12328112 14229176 14639633 20033182 28458352 29279266 40066364 58558532 80132728 117117064 160265456 190315229 234234128 380630458 761260916 1522521832 3045043664