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3084441120 = 25345237997
BaseRepresentation
bin1011011111011000…
…1101011000100000
321221221220211210000
42313312031120200
522304104103440
61230022140000
7136302213465
oct26766153040
97857824700
103084441120
1113430a52a2
12720b81600
133a203b1b7
1421390766c
15130bc3730
hexb7d8d620

3084441120 has 120 divisors (see below), whose sum is σ = 10885552524. Its totient is φ = 822514176.

The previous prime is 3084441109. The next prime is 3084441167. The reversal of 3084441120 is 211444803.

3084441120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3069603216 + 14837904 = 55404^2 + 3852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106039 + ... + 131958.

Almost surely, 23084441120 is an apocalyptic number.

3084441120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3084441120 is an abundant number, since it is smaller than the sum of its proper divisors (7801111404).

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

3084441120 is a wasteful number, since it uses less digits than its factorization.

3084441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238024 (or 238007 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3084441120 is about 55537.7450028357. The cubic root of 3084441120 is about 1455.6562455795.

Adding to 3084441120 its reverse (211444803), we get a palindrome (3295885923).

The spelling of 3084441120 in words is "three billion, eighty-four million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 237997 475994 713991 951988 1189985 1427982 1903976 2141973 2379970 2855964 3569955 3807952 4283946 4759940 5711928 6425919 7139910 7615904 8567892 9519880 10709865 11423856 12851838 14279820 17135784 19039760 19277757 21419730 22847712 25703676 28559640 32129595 34271568 38079520 38555514 42839460 51407352 57119280 64259190 68543136 77111028 85678920 96388785 102814704 114238560 128518380 154222056 171357840 192777570 205629408 257036760 308444112 342715680 385555140 514073520 616888224 771110280 1028147040 1542220560 3084441120