Search a number
-
+
673111296 = 28341113227
BaseRepresentation
bin101000000111101…
…101110100000000
31201220120121010000
4220013231310000
52334304030141
6150443040000
722452231414
oct5007556400
91656517100
10673111296
11315a54530
12169510000
13a95b6610
1465578d44
153e1605b6
hex281edd00

673111296 has 360 divisors, whose sum is σ = 2368374624. Its totient is φ = 187453440.

The previous prime is 673111291. The next prime is 673111321. The reversal of 673111296 is 692111376.

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

It is a self number, because there is not a number n which added to its sum of digits gives 673111296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673111291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2965135 + ... + 2965361.

Almost surely, 2673111296 is an apocalyptic number.

673111296 is a gapful number since it is divisible by the number (66) 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 673111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184187312).

673111296 is an abundant number, since it is smaller than the sum of its proper divisors (1695263328).

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

673111296 is a wasteful number, since it uses less digits than its factorization.

673111296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 673111296 is about 25944.3885262305. The cubic root of 673111296 is about 876.3863936244.

The spelling of 673111296 in words is "six hundred seventy-three million, one hundred eleven thousand, two hundred ninety-six".