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3034401120 = 253252107223
BaseRepresentation
bin1011010011011101…
…0100100101100000
321211110202112210200
42310313110211200
522203301313440
61221033425200
7135123661332
oct26467244540
97743675720
103034401120
111317927523
1270826b200
1339486a82a
1420addd452
1512b5dbc30
hexb4dd4960

3034401120 has 72 divisors (see below), whose sum is σ = 10354898736. Its totient is φ = 809173248.

The previous prime is 3034401037. The next prime is 3034401193. The reversal of 3034401120 is 211044303.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3034401093 and 3034401102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1052172 + ... + 1055051.

It is an arithmetic number, because the mean of its divisors is an integer number (143818038).

Almost surely, 23034401120 is an apocalyptic number.

3034401120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3034401120 is an abundant number, since it is smaller than the sum of its proper divisors (7320497616).

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

3034401120 is a wasteful number, since it uses less digits than its factorization.

3034401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107244 (or 2107233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3034401120 is about 55085.3984282586. The cubic root of 3034401120 is about 1447.7414096185.

Adding to 3034401120 its reverse (211044303), we get a palindrome (3245445423).

The spelling of 3034401120 in words is "three billion, thirty-four million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2107223 4214446 6321669 8428892 10536115 12643338 16857784 18965007 21072230 25286676 31608345 33715568 37930014 42144460 50573352 63216690 67431136 75860028 84288920 94825035 101146704 126433380 151720056 168577840 189650070 202293408 252866760 303440112 337155680 379300140 505733520 606880224 758600280 1011467040 1517200560 3034401120