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453134240 = 255131311663
BaseRepresentation
bin11011000000100…
…100011110100000
31011120122121022122
4123000210132200
51412000243430
6112544123412
714141402036
oct3300443640
91146577278
10453134240
11212867509
12107906568
1372b56490
1444276556
1529babee5
hex1b0247a0

453134240 has 96 divisors (see below), whose sum is σ = 1162377216. Its totient is φ = 165934080.

The previous prime is 453134221. The next prime is 453134243. The reversal of 453134240 is 42431354.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (453134243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271649 + ... + 273311.

It is an arithmetic number, because the mean of its divisors is an integer number (12108096).

Almost surely, 2453134240 is an apocalyptic number.

453134240 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 453134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581188608).

453134240 is an abundant number, since it is smaller than the sum of its proper divisors (709242976).

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

453134240 is a wasteful number, since it uses less digits than its factorization.

453134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 453134240 is about 21286.9499928947. The cubic root of 453134240 is about 768.0844272057.

Adding to 453134240 its reverse (42431354), we get a palindrome (495565594).

The spelling of 453134240 in words is "four hundred fifty-three million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 131 160 208 260 262 416 520 524 655 1040 1048 1310 1663 1703 2080 2096 2620 3326 3406 4192 5240 6652 6812 8315 8515 10480 13304 13624 16630 17030 20960 21619 26608 27248 33260 34060 43238 53216 54496 66520 68120 86476 108095 133040 136240 172952 216190 217853 266080 272480 345904 432380 435706 691808 864760 871412 1089265 1729520 1742824 2178530 2832089 3459040 3485648 4357060 5664178 6971296 8714120 11328356 14160445 17428240 22656712 28320890 34856480 45313424 56641780 90626848 113283560 226567120 453134240