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3944300080 = 245721636173
BaseRepresentation
bin1110101100011001…
…0011111000110000
3101011212220012112011
43223012103320300
531034220100310
61451220012304
7166512666100
oct35306237060
911155805464
103944300080
111744500036
12920b31094
134ab21ba96
14295bb5200
1518142178a
hexeb193e30

3944300080 has 120 divisors (see below), whose sum is σ = 10734906672. Its totient is φ = 1343817216.

The previous prime is 3944300057. The next prime is 3944300089. The reversal of 3944300080 is 800034493.

3944300080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3944300089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635874 + ... + 642046.

Almost surely, 23944300080 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 3944300080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367453336).

3944300080 is an abundant number, since it is smaller than the sum of its proper divisors (6790606592).

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

3944300080 is a wasteful number, since it uses less digits than its factorization.

3944300080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3944300080 is about 62803.6629504999. The cubic root of 3944300080 is about 1579.9984083731.

The spelling of 3944300080 in words is "three billion, nine hundred forty-four million, three hundred thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 163 196 245 280 326 392 490 560 652 784 815 980 1141 1304 1630 1960 2282 2608 3260 3920 4564 5705 6173 6520 7987 9128 11410 12346 13040 15974 18256 22820 24692 30865 31948 39935 43211 45640 49384 61730 63896 79870 86422 91280 98768 123460 127792 159740 172844 216055 246920 302477 319480 345688 432110 493840 604954 638960 691376 864220 1006199 1209908 1512385 1728440 2012398 2419816 3024770 3456880 4024796 4839632 5030995 6049540 7043393 8049592 10061990 12099080 14086786 16099184 20123980 24198160 28173572 35216965 40247960 49303751 56347144 70433930 80495920 98607502 112694288 140867860 197215004 246518755 281735720 394430008 493037510 563471440 788860016 986075020 1972150040 3944300080