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42234300 = 223252167281
BaseRepresentation
bin1010000100011…
…1000110111100
32221110201120100
42201013012330
541302444200
64105121100
71021662033
oct241070674
987421510
1042234300
1121927289
1212189190
138999814
14587571a
153a93d00
hex28471bc

42234300 has 108 divisors (see below), whose sum is σ = 133647696. Its totient is φ = 11155200.

The previous prime is 42234293. The next prime is 42234323. The reversal of 42234300 is 343224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150160 + ... + 150440.

Almost surely, 242234300 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 42234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66823848).

42234300 is an abundant number, since it is smaller than the sum of its proper divisors (91413396).

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

42234300 is a wasteful number, since it uses less digits than its factorization.

42234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42234300 is about 6498.7921954776. The cubic root of 42234300 is about 348.2478416803.

Adding to 42234300 its reverse (343224), we get a palindrome (42577524).

The spelling of 42234300 in words is "forty-two million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 167 180 225 281 300 334 450 501 562 668 835 843 900 1002 1124 1405 1503 1670 1686 2004 2505 2529 2810 3006 3340 3372 4175 4215 5010 5058 5620 6012 7025 7515 8350 8430 10020 10116 12525 12645 14050 15030 16700 16860 21075 25050 25290 28100 30060 37575 42150 46927 50100 50580 63225 75150 84300 93854 126450 140781 150300 187708 234635 252900 281562 422343 469270 563124 703905 844686 938540 1173175 1407810 1689372 2111715 2346350 2815620 3519525 4223430 4692700 7039050 8446860 10558575 14078100 21117150 42234300