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3483455120 = 245314134259
BaseRepresentation
bin1100111110100001…
…0100111010010000
322222202201212002022
43033220110322100
524113231030440
61333354311012
7152215610555
oct31750247220
98882655068
103483455120
111528357432
12812728468
134368c5a62
142508d2a2c
15155c3ecb5
hexcfa14e90

3483455120 has 80 divisors (see below), whose sum is σ = 8564451840. Its totient is φ = 1315507200.

The previous prime is 3483455119. The next prime is 3483455141. The reversal of 3483455120 is 215543843.

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

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, 84551 + ... + 118809.

It is an arithmetic number, because the mean of its divisors is an integer number (107055648).

Almost surely, 23483455120 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 3483455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282225920).

3483455120 is an abundant number, since it is smaller than the sum of its proper divisors (5080996720).

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

3483455120 is a wasteful number, since it uses less digits than its factorization.

3483455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34344 (or 34338 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 3483455120 is about 59020.8024343960. The cubic root of 3483455120 is about 1515.8983253657.

Adding to 3483455120 its reverse (215543843), we get a palindrome (3698998963).

The spelling of 3483455120 in words is "three billion, four hundred eighty-three million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 62 80 82 124 155 164 205 248 310 328 410 496 620 656 820 1240 1271 1640 2480 2542 3280 5084 6355 10168 12710 20336 25420 34259 50840 68518 101680 137036 171295 274072 342590 548144 685180 1062029 1370360 1404619 2124058 2740720 2809238 4248116 5310145 5618476 7023095 8496232 10620290 11236952 14046190 16992464 21240580 22473904 28092380 42481160 43543189 56184760 84962320 87086378 112369520 174172756 217715945 348345512 435431890 696691024 870863780 1741727560 3483455120