Search a number
-
+
454240340 = 2251723292003
BaseRepresentation
bin11011000100110…
…010100001010100
31011122201210121022
4123010302201110
51412241142330
6113023540312
714153656601
oct3304624124
91148653538
10454240340
11213452544
1210815a698
1373152a88
14444836a8
1529d29ae5
hex1b132854

454240340 has 96 divisors (see below), whose sum is σ = 1090817280. Its totient is φ = 157853696.

The previous prime is 454240313. The next prime is 454240349. The reversal of 454240340 is 43042454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454240349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225779 + ... + 227781.

It is an arithmetic number, because the mean of its divisors is an integer number (11362680).

Almost surely, 2454240340 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 454240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545408640).

454240340 is an abundant number, since it is smaller than the sum of its proper divisors (636576940).

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

454240340 is a wasteful number, since it uses less digits than its factorization.

454240340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 454240340 is about 21312.9148639974. The cubic root of 454240340 is about 768.7088836934.

Adding to 454240340 its reverse (43042454), we get a palindrome (497282794).

The spelling of 454240340 in words is "four hundred fifty-four million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 23 29 34 46 58 68 85 92 115 116 145 170 230 290 340 391 460 493 580 667 782 986 1334 1564 1955 1972 2003 2465 2668 3335 3910 4006 4930 6670 7820 8012 9860 10015 11339 13340 20030 22678 34051 40060 45356 46069 56695 58087 68102 92138 113390 116174 136204 170255 184276 226780 230345 232348 290435 340510 460690 580870 681020 783173 921380 987479 1161740 1336001 1566346 1974958 2672002 3132692 3915865 3949916 4937395 5344004 6680005 7831730 9874790 13360010 15663460 19749580 22712017 26720020 45424034 90848068 113560085 227120170 454240340