Search a number
-
+
3055445040 = 243527074703
BaseRepresentation
bin1011011000011110…
…0110010000110000
321212221100200122010
42312013212100300
522224143220130
61223104442520
7135500566014
oct26607462060
97787320563
103055445040
1113287a009a
12713319440
1339902815b
1420db1a544
1512d3970b0
hexb61e6430

3055445040 has 80 divisors (see below), whose sum is σ = 9477393408. Its totient is φ = 814311168.

The previous prime is 3055444993. The next prime is 3055445047. The reversal of 3055445040 is 405445503.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3055444989 and 3055445007.

It is not an unprimeable number, because it can be changed into a prime (3055445047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647329 + ... + 652031.

Almost surely, 23055445040 is an apocalyptic number.

3055445040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3055445040 is an abundant number, since it is smaller than the sum of its proper divisors (6421948368).

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

3055445040 is a wasteful number, since it uses less digits than its factorization.

3055445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 3055445040 is about 55276.0801794049. The cubic root of 3055445040 is about 1451.0804535294.

The spelling of 3055445040 in words is "three billion, fifty-five million, four hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2707 4703 5414 8121 9406 10828 13535 14109 16242 18812 21656 23515 27070 28218 32484 37624 40605 43312 47030 54140 56436 64968 70545 75248 81210 94060 108280 112872 129936 141090 162420 188120 216560 225744 282180 324840 376240 564360 649680 1128720 12731021 25462042 38193063 50924084 63655105 76386126 101848168 127310210 152772252 190965315 203696336 254620420 305544504 381930630 509240840 611089008 763861260 1018481680 1527722520 3055445040