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422034000 = 24353312269
BaseRepresentation
bin11001001001111…
…011101001010000
31002102010112210220
4121021323221100
51331020042000
6105513353040
713313141553
oct3111735120
91072115726
10422034000
111a7255433
12b9408780
136958777b
144009c69a
15270b71a0
hex1927ba50

422034000 has 160 divisors (see below), whose sum is σ = 1405148160. Its totient is φ = 108864000.

The previous prime is 422033987. The next prime is 422034049. The reversal of 422034000 is 430224.

It is a happy number.

It is a super-2 number, since 2×4220340002 = 356225394312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 184866 + ... + 187134.

It is an arithmetic number, because the mean of its divisors is an integer number (8782176).

Almost surely, 2422034000 is an apocalyptic number.

422034000 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 422034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702574080).

422034000 is an abundant number, since it is smaller than the sum of its proper divisors (983114160).

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

422034000 is a wasteful number, since it uses less digits than its factorization.

422034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 422034000 is about 20543.4661145582. The cubic root of 422034000 is about 750.0942103876.

Adding to 422034000 its reverse (430224), we get a palindrome (422464224).

The spelling of 422034000 in words is "four hundred twenty-two million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2269 2325 2480 3000 3100 3720 3875 4538 4650 6000 6200 6807 7440 7750 9076 9300 11345 11625 12400 13614 15500 18152 18600 22690 23250 27228 31000 34035 36304 37200 45380 46500 54456 56725 62000 68070 70339 90760 93000 108912 113450 136140 140678 170175 181520 186000 211017 226900 272280 281356 283625 340350 351695 422034 453800 544560 562712 567250 680700 703390 844068 850875 907600 1055085 1125424 1134500 1361400 1406780 1688136 1701750 1758475 2110170 2269000 2722800 2813560 3376272 3403500 3516950 4220340 4538000 5275425 5627120 6807000 7033900 8440680 8792375 10550850 13614000 14067800 16881360 17584750 21101700 26377125 28135600 35169500 42203400 52754250 70339000 84406800 105508500 140678000 211017000 422034000