Search a number
-
+
453349440 = 26335137383
BaseRepresentation
bin11011000001011…
…001000001000000
31011121001112112000
4123001121001000
51412024140230
6112552504000
714143256325
oct3301310100
91147045460
10453349440
112129a4165
121079ab000
1372c0040b
14442d0b4c
1529c00b60
hex1b059040

453349440 has 224 divisors, whose sum is σ = 1615196160. Its totient is φ = 119697408.

The previous prime is 453349409. The next prime is 453349469. The reversal of 453349440 is 44943354.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 453349395 and 453349404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183489 + ... + 1183871.

Almost surely, 2453349440 is an apocalyptic number.

453349440 is a gapful number since it is divisible by the number (40) 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 453349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807598080).

453349440 is an abundant number, since it is smaller than the sum of its proper divisors (1161846720).

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

453349440 is a wasteful number, since it uses less digits than its factorization.

453349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 453349440 is about 21292.0041330073. The cubic root of 453349440 is about 768.2059994277.

The spelling of 453349440 in words is "four hundred fifty-three million, three hundred forty-nine thousand, four hundred forty".