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42344820 = 22325724801
BaseRepresentation
bin1010000110001…
…0000101110100
32221200100011200
42201202011310
541320013240
64111332500
71022632200
oct241420564
987610150
1042344820
11219a2321
1212221130
138a07c0b
1458a3b00
153ab6930
hex2862174

42344820 has 108 divisors (see below), whose sum is σ = 149447844. Its totient is φ = 9676800.

The previous prime is 42344803. The next prime is 42344837. The reversal of 42344820 is 2844324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42344803) and next prime (42344837).

It can be written as a sum of positive squares in 2 ways, for example, as 19820304 + 22524516 = 4452^2 + 4746^2 .

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, 6420 + ... + 11220.

Almost surely, 242344820 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 42344820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74723922).

42344820 is an abundant number, since it is smaller than the sum of its proper divisors (107103024).

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

42344820 is a wasteful number, since it uses less digits than its factorization.

42344820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42344820 is about 6507.2897584171. The cubic root of 42344820 is about 348.5513456071.

The spelling of 42344820 in words is "forty-two million, three hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 4801 8820 9602 14403 19204 24005 28806 33607 43209 48010 57612 67214 72015 86418 96020 100821 134428 144030 168035 172836 201642 216045 235249 288060 302463 336070 403284 432090 470498 504105 604926 672140 705747 864180 940996 1008210 1176245 1209852 1411494 1512315 2016420 2117241 2352490 2822988 3024630 3528735 4234482 4704980 6049260 7057470 8468964 10586205 14114940 21172410 42344820