Search a number
-
+
7030348416 = 2732713199337
BaseRepresentation
bin1101000110000101…
…01001101010000000
3200010221211200222200
412203002221222000
5103344232122131
63121340433200
7336134655420
oct64302515200
920127750880
107030348416
112a884a2903
121442548800
138806a06a0
144a99ba480
152b23112e6
hex1a30a9a80

7030348416 has 384 divisors, whose sum is σ = 25098528000. Its totient is φ = 1839366144.

The previous prime is 7030348411. The next prime is 7030348421. The reversal of 7030348416 is 6148430307.

It is an interprime number because it is at equal distance from previous prime (7030348411) and next prime (7030348421).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (7030348411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20861400 + ... + 20861736.

It is an arithmetic number, because the mean of its divisors is an integer number (65360750).

Almost surely, 27030348416 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 7030348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549264000).

7030348416 is an abundant number, since it is smaller than the sum of its proper divisors (18068179584).

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

7030348416 is a wasteful number, since it uses less digits than its factorization.

7030348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7030348416 is about 83847.1729755989. The cubic root of 7030348416 is about 1915.6916939492.

The spelling of 7030348416 in words is "seven billion, thirty million, three hundred forty-eight thousand, four hundred sixteen".