Search a number
-
+
3047466240 = 283457131719
BaseRepresentation
bin1011010110100100…
…1010010100000000
321212101100022210000
42311221022110000
522220122404430
61222221440000
7135343015140
oct26551122400
97771308700
103047466240
111324240545
12710710000
13397493580
1420ca40920
1512c81ce60
hexb5a4a500

3047466240 has 1440 divisors, whose sum is σ = 14958155520. Its totient is φ = 573308928.

The previous prime is 3047466211. The next prime is 3047466269. The reversal of 3047466240 is 426647403.

It is an interprime number because it is at equal distance from previous prime (3047466211) and next prime (3047466269).

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 3047466195 and 3047466204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160392951 + ... + 160392969.

It is an arithmetic number, because the mean of its divisors is an integer number (10387608).

Almost surely, 23047466240 is an apocalyptic number.

3047466240 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 3047466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479077760).

3047466240 is an abundant number, since it is smaller than the sum of its proper divisors (11910689280).

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

3047466240 is a wasteful number, since it uses less digits than its factorization.

3047466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3047466240 is about 55203.8607345537. The cubic root of 3047466240 is about 1449.8162652647.

The spelling of 3047466240 in words is "three billion, forty-seven million, four hundred sixty-six thousand, two hundred forty".