Search a number
-
+
454097700 = 223252731471
BaseRepresentation
bin11011000100001…
…111101100100100
31011122110112221100
4123010033230210
51412222111300
6113020520100
714152524000
oct3304175444
91148415840
10454097700
11213365361
121080b0030
1373102b84
1444447700
1529cec700
hex1b10fb24

454097700 has 216 divisors, whose sum is σ = 1661004800. Its totient is φ = 103723200.

The previous prime is 454097653. The next prime is 454097711. The reversal of 454097700 is 7790454.

It is a happy number.

It is a super-2 number, since 2×4540977002 = 412409442290580000, which contains 22 as substring.

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

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307965 + ... + 309435.

Almost surely, 2454097700 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 454097700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830502400).

454097700 is an abundant number, since it is smaller than the sum of its proper divisors (1206907100).

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

454097700 is a wasteful number, since it uses less digits than its factorization.

454097700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 454097700 is about 21309.5682734306. The cubic root of 454097700 is about 768.6284122595.

The spelling of 454097700 in words is "four hundred fifty-four million, ninety-seven thousand, seven hundred".