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42234000 = 243537039
BaseRepresentation
bin1010000100011…
…1000010010000
32221110201011020
42201013002100
541302442000
64105115440
71021661124
oct241070220
987421136
1042234000
1121927036
1212188b80
138999643
145875584
153a93ba0
hex2847090

42234000 has 80 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 11260800.

The previous prime is 42233999. The next prime is 42234011. The reversal of 42234000 is 43224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2481 + ... + 9519.

It is an arithmetic number, because the mean of its divisors is an integer number (1702272).

Almost surely, 242234000 is an apocalyptic number.

42234000 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 42234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

42234000 is an abundant number, since it is smaller than the sum of its proper divisors (93947760).

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

42234000 is a wasteful number, since it uses less digits than its factorization.

42234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7049 counting only the distinct ones).

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

The square root of 42234000 is about 6498.7691142246. The cubic root of 42234000 is about 348.2470171167.

Adding to 42234000 its reverse (43224), we get a palindrome (42277224).

The spelling of 42234000 in words is "forty-two million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 7039 14078 21117 28156 35195 42234 56312 70390 84468 105585 112624 140780 168936 175975 211170 281560 337872 351950 422340 527925 563120 703900 844680 879875 1055850 1407800 1689360 1759750 2111700 2639625 2815600 3519500 4223400 5279250 7039000 8446800 10558500 14078000 21117000 42234000