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424390200 = 233521354409
BaseRepresentation
bin11001010010111…
…010111000111000
31002120120020220120
4121102322320320
51332120441300
6110040053240
713342154133
oct3122727070
91076506816
10424390200
111a8614703
12ba164220
1369c01080
144051321a
15273d03a0
hex194bae38

424390200 has 96 divisors (see below), whose sum is σ = 1416836400. Its totient is φ = 104463360.

The previous prime is 424390199. The next prime is 424390207. The reversal of 424390200 is 2093424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424390207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19405 + ... + 35004.

Almost surely, 2424390200 is an apocalyptic number.

424390200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424390200 is an abundant number, since it is smaller than the sum of its proper divisors (992446200).

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

424390200 is a wasteful number, since it uses less digits than its factorization.

424390200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54441 (or 54432 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 424390200 is about 20600.7329966679. The cubic root of 424390200 is about 751.4875365849.

The spelling of 424390200 in words is "four hundred twenty-four million, three hundred ninety thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 54409 108818 163227 217636 272045 326454 435272 544090 652908 707317 816135 1088180 1305816 1360225 1414634 1632270 2121951 2176360 2720450 2829268 3264540 3536585 4080675 4243902 5440900 5658536 6529080 7073170 8161350 8487804 10609755 10881800 14146340 16322700 16975608 17682925 21219510 28292680 32645400 35365850 42439020 53048775 70731700 84878040 106097550 141463400 212195100 424390200