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7003681344 = 26321123172
BaseRepresentation
bin1101000010111001…
…11011001001000000
3200002002122212122100
412201130323021000
5103320420300334
63114545110400
7335362211022
oct64134731100
920062585570
107003681344
112a74439500
121435628400
13877cc475a
144a6238012
152aece4c99
hex1a173b240

7003681344 has 189 divisors, whose sum is σ = 22135503481. Its totient is φ = 2115632640.

The previous prime is 7003681339. The next prime is 7003681351. The reversal of 7003681344 is 4431863007.

The square root of 7003681344 is 83688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 392040000 + 6611641344 = 19800^2 + 81312^2 .

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7003681299 and 7003681308.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22093474 + ... + 22093790.

Almost surely, 27003681344 is an apocalyptic number.

7003681344 is the 83688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7003681344

7003681344 is an abundant number, since it is smaller than the sum of its proper divisors (15131822137).

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

7003681344 is a wasteful number, since it uses less digits than its factorization.

7003681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 333 counting only the distinct ones).

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

The cubic root of 7003681344 is about 1913.2664648480.

Multiplying 7003681344 by its sum of digits (36), we get a square (252132528384 = 5021282).

7003681344 divided by its sum of digits (36) gives a square (194546704 = 139482).

The spelling of 7003681344 in words is "seven billion, three million, six hundred eighty-one thousand, three hundred forty-four".