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3045273840 = 243357317389
BaseRepresentation
bin1011010110000011…
…0011000011110000
321212020012221101000
42311200303003300
522214042230330
61222102442000
7135315254250
oct26540630360
97766187330
103045273840
111322a83344
1270ba33300
13396ba66ab
1420c62d960
1512c538560
hexb58330f0

3045273840 has 640 divisors, whose sum is σ = 12684902400. Its totient is φ = 656916480.

The previous prime is 3045273827. The next prime is 3045273859. The reversal of 3045273840 is 483725403.

It is a happy number.

3045273840 is a `hidden beast` number, since 304 + 5 + 273 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3045273795 and 3045273804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34216516 + ... + 34216604.

It is an arithmetic number, because the mean of its divisors is an integer number (19820160).

Almost surely, 23045273840 is an apocalyptic number.

3045273840 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 3045273840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342451200).

3045273840 is an abundant number, since it is smaller than the sum of its proper divisors (9639628560).

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

3045273840 is a wasteful number, since it uses less digits than its factorization.

3045273840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3045273840 is about 55183.9998550304. Note that the first 3 decimals coincide. The cubic root of 3045273840 is about 1449.4685075456.

The spelling of 3045273840 in words is "three billion, forty-five million, two hundred seventy-three thousand, eight hundred forty".