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452342000 = 24531129709
BaseRepresentation
bin11010111101100…
…011000011110000
31011112011100120102
4122331203003300
51411244421000
6112515131532
714131562225
oct3275430360
91145140512
10452342000
11212376270
121075a3ba8
13729399b6
144410b94c
1529aa23d5
hex1af630f0

452342000 has 160 divisors (see below), whose sum is σ = 1236081600. Its totient is φ = 158592000.

The previous prime is 452341999. The next prime is 452342027. The reversal of 452342000 is 243254.

It is a super-2 number, since 2×4523420002 = 409226569928000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 637646 + ... + 638354.

It is an arithmetic number, because the mean of its divisors is an integer number (7725510).

Almost surely, 2452342000 is an apocalyptic number.

452342000 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 452342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618040800).

452342000 is an abundant number, since it is smaller than the sum of its proper divisors (783739600).

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

452342000 is a wasteful number, since it uses less digits than its factorization.

452342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 452342000 is about 21268.3332680302. Note that the first 3 decimals coincide. The cubic root of 452342000 is about 767.6365377234.

Adding to 452342000 its reverse (243254), we get a palindrome (452585254).

The spelling of 452342000 in words is "four hundred fifty-two million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 125 145 176 200 220 232 250 275 290 319 400 440 464 500 550 580 638 709 725 880 1000 1100 1160 1276 1375 1418 1450 1595 2000 2200 2320 2552 2750 2836 2900 3190 3545 3625 4400 5104 5500 5672 5800 6380 7090 7250 7799 7975 11000 11344 11600 12760 14180 14500 15598 15950 17725 20561 22000 25520 28360 29000 31196 31900 35450 38995 39875 41122 56720 58000 62392 63800 70900 77990 79750 82244 88625 102805 124784 127600 141800 155980 159500 164488 177250 194975 205610 226171 283600 311960 319000 328976 354500 389950 411220 452342 514025 623920 638000 709000 779900 822440 904684 974875 1028050 1130855 1418000 1559800 1644880 1809368 1949750 2056100 2261710 2570125 3119600 3618736 3899500 4112200 4523420 5140250 5654275 7799000 8224400 9046840 10280500 11308550 15598000 18093680 20561000 22617100 28271375 41122000 45234200 56542750 90468400 113085500 226171000 452342000