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4244354000 = 24537926863
BaseRepresentation
bin1111110011111011…
…1011001111010000
3101221210111112010022
43330332323033100
532143023312000
61541055123012
7210115261625
oct37476731720
911853445108
104244354000
111888910a87
129a5513468
13528438293
142c39a034c
1519c941585
hexfcfbb3d0

4244354000 has 80 divisors (see below), whose sum is σ = 10393144320. Its totient is φ = 1676188800.

The previous prime is 4244353991. The next prime is 4244354029. The reversal of 4244354000 is 4534424.

It is a tau number, because it is divible by the number of its divisors (80).

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, 144569 + ... + 171431.

It is an arithmetic number, because the mean of its divisors is an integer number (129914304).

Almost surely, 24244354000 is an apocalyptic number.

4244354000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196572160).

4244354000 is an abundant number, since it is smaller than the sum of its proper divisors (6148790320).

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

4244354000 is a wasteful number, since it uses less digits than its factorization.

4244354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26965 (or 26949 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4244354000 is about 65148.7068175570. The cubic root of 4244354000 is about 1619.0882946061.

Adding to 4244354000 its reverse (4534424), we get a palindrome (4248888424).

The spelling of 4244354000 in words is "four billion, two hundred forty-four million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 632 790 1000 1264 1580 1975 2000 3160 3950 6320 7900 9875 15800 19750 26863 31600 39500 53726 79000 107452 134315 158000 214904 268630 429808 537260 671575 1074520 1343150 2122177 2149040 2686300 3357875 4244354 5372600 6715750 8488708 10610885 10745200 13431500 16977416 21221770 26863000 33954832 42443540 53054425 53726000 84887080 106108850 169774160 212217700 265272125 424435400 530544250 848870800 1061088500 2122177000 4244354000