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3034311120 = 2432527115551
BaseRepresentation
bin1011010011011011…
…1110100111010000
321211110120222100100
42310312332213100
522203240423440
61221031452400
7135123135051
oct26466764720
97743528310
103034311120
111317875945
12708227100
13394838889
1420adb8728
1512b5c0230
hexb4dbe9d0

3034311120 has 120 divisors (see below), whose sum is σ = 10228488192. Its totient is φ = 806112000.

The previous prime is 3034311107. The next prime is 3034311193. The reversal of 3034311120 is 211134303.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 3034311093 and 3034311102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187345 + ... + 202895.

Almost surely, 23034311120 is an apocalyptic number.

3034311120 is a gapful number since it is divisible by the number (30) 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 3034311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114244096).

3034311120 is an abundant number, since it is smaller than the sum of its proper divisors (7194177072).

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

3034311120 is a wasteful number, since it uses less digits than its factorization.

3034311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15841 (or 15832 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3034311120 is about 55084.5815088034. The cubic root of 3034311120 is about 1447.7270961939.

Adding to 3034311120 its reverse (211134303), we get a palindrome (3245445423).

The spelling of 3034311120 in words is "three billion, thirty-four million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 271 360 542 720 813 1084 1355 1626 2168 2439 2710 3252 4065 4336 4878 5420 6504 8130 9756 10840 12195 13008 15551 16260 19512 21680 24390 31102 32520 39024 46653 48780 62204 65040 77755 93306 97560 124408 139959 155510 186612 195120 233265 248816 279918 311020 373224 466530 559836 622040 699795 746448 933060 1119672 1244080 1399590 1866120 2239344 2799180 3732240 4214321 5598360 8428642 11196720 12642963 16857284 21071605 25285926 33714568 37928889 42143210 50571852 63214815 67429136 75857778 84286420 101143704 126429630 151715556 168572840 189644445 202287408 252859260 303431112 337145680 379288890 505718520 606862224 758577780 1011437040 1517155560 3034311120