Search a number
-
+
4198340568 = 2333720112351
BaseRepresentation
bin1111101000111101…
…1001011111011000
3101211120220210120010
43322033121133120
532044233344233
61532333001520
7206016206652
oct37217313730
911746823503
104198340568
111864943454
129920232a0
1351ba475b6
142bb8236d2
151988a2b63
hexfa3d97d8

4198340568 has 64 divisors (see below), whose sum is σ = 10789470720. Its totient is φ = 1360368000.

The previous prime is 4198340551. The next prime is 4198340579. The reversal of 4198340568 is 8650438914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1784593 + ... + 1786943.

It is an arithmetic number, because the mean of its divisors is an integer number (168585480).

Almost surely, 24198340568 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 4198340568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394735360).

4198340568 is an abundant number, since it is smaller than the sum of its proper divisors (6591130152).

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

4198340568 is a wasteful number, since it uses less digits than its factorization.

4198340568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4198340568 is about 64794.6029233917. The cubic root of 4198340568 is about 1613.2161279440.

The spelling of 4198340568 in words is "four billion, one hundred ninety-eight million, three hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 2011 2351 4022 4702 6033 7053 8044 9404 12066 14106 16088 18808 24132 28212 48264 56424 74407 86987 148814 173974 223221 260961 297628 347948 446442 521922 595256 695896 892884 1043844 1785768 2087688 4727861 9455722 14183583 18911444 28367166 37822888 56734332 113468664 174930857 349861714 524792571 699723428 1049585142 1399446856 2099170284 4198340568