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674250480 = 24345671553
BaseRepresentation
bin101000001100000…
…011111011110000
31201222201110210000
4220030003323300
52340102003410
6150523310000
722465014561
oct5014037360
91658643700
10674250480
11316662402
1216997b300
13a98c4ca7
1465794168
153e2d7dc0
hex28303ef0

674250480 has 200 divisors, whose sum is σ = 2378254032. Its totient is φ = 177002496.

The previous prime is 674250461. The next prime is 674250487. The reversal of 674250480 is 84052476.

674250480 is a `hidden beast` number, since 6 + 74 + 2 + 504 + 80 = 666.

It is a super-2 number, since 2×6742504802 = 909227419560460800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674250487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 433384 + ... + 434936.

Almost surely, 2674250480 is an apocalyptic number.

674250480 is a gapful number since it is divisible by the number (60) 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 674250480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189127016).

674250480 is an abundant number, since it is smaller than the sum of its proper divisors (1704003552).

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

674250480 is a wasteful number, since it uses less digits than its factorization.

674250480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 674250480 is about 25966.3335879365. Note that the first 3 decimals coincide. The cubic root of 674250480 is about 876.8805182840.

The spelling of 674250480 in words is "six hundred seventy-four million, two hundred fifty thousand, four hundred eighty".