Search a number
-
+
670834648 = 231132512
BaseRepresentation
bin100111111111000…
…001111111011000
31201202021221010201
4213333001333120
52333213202043
6150322151544
722424000101
oct4777017730
91652257121
10670834648
1131473a000
121687b25b4
13a8c9a2a3
14651453a8
153dd60c4d
hex27fc1fd8

670834648 has 48 divisors (see below), whose sum is σ = 1389035880. Its totient is φ = 303710000.

The previous prime is 670834613. The next prime is 670834649. The reversal of 670834648 is 846438076.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a junction number, because it is equal to n+sod(n) for n = 670834598 and 670834607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670834649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2672523 + ... + 2672773.

Almost surely, 2670834648 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 670834648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694517940).

670834648 is an abundant number, since it is smaller than the sum of its proper divisors (718201232).

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

670834648 is an equidigital number, since it uses as much as digits as its factorization.

670834648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 670834648 is about 25900.4758257450. The cubic root of 670834648 is about 875.3972174195.

The spelling of 670834648 in words is "six hundred seventy million, eight hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 251 484 502 968 1004 1331 2008 2662 2761 5324 5522 10648 11044 22088 30371 60742 63001 121484 126002 242968 252004 334081 504008 668162 693011 1336324 1386022 2672648 2772044 5544088 7623121 15246242 30492484 60984968 83854331 167708662 335417324 670834648