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450052344 = 23327937953
BaseRepresentation
bin11010110100110…
…100000011111000
31011100212000202100
4122310310003320
51410203133334
6112354103400
714103244650
oct3264640370
91140760670
10450052344
11211051a95
1210687ab60
1372317781
1443ab3360
152979dc99
hex1ad340f8

450052344 has 96 divisors (see below), whose sum is σ = 1395969120. Its totient is φ = 128314368.

The previous prime is 450052331. The next prime is 450052381. The reversal of 450052344 is 443250054.

It is a super-2 number, since 2×4500523442 = 405094224679788672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471772 + ... + 472724.

It is an arithmetic number, because the mean of its divisors is an integer number (14541345).

Almost surely, 2450052344 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 450052344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697984560).

450052344 is an abundant number, since it is smaller than the sum of its proper divisors (945916776).

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

450052344 is a wasteful number, since it uses less digits than its factorization.

450052344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 450052344 is about 21214.4371596326. The cubic root of 450052344 is about 766.3391436126.

The spelling of 450052344 in words is "four hundred fifty million, fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 937 953 1874 1906 2811 2859 3748 3812 5622 5718 6559 6671 7496 7624 8433 8577 11244 11436 13118 13342 16866 17154 19677 20013 22488 22872 26236 26684 33732 34308 39354 40026 52472 53368 59031 60039 67464 68616 78708 80052 118062 120078 157416 160104 236124 240156 472248 480312 892961 1785922 2678883 3571844 5357766 6250727 7143688 8036649 10715532 12501454 16073298 18752181 21431064 25002908 32146596 37504362 50005816 56256543 64293192 75008724 112513086 150017448 225026172 450052344