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4294000 = 245319113
BaseRepresentation
bin10000011000010101110000
322002011021001
4100120111300
52044402000
6232011344
751332644
oct20302560
98064231
104294000
112473167
121530b54
13b74639
147dac24
1559c46a
hex418570

4294000 has 80 divisors (see below), whose sum is σ = 11026080. Its totient is φ = 1612800.

The previous prime is 4293941. The next prime is 4294039. The reversal of 4294000 is 4924.

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 (19).

It is a congruent number.

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, 37944 + ... + 38056.

It is an arithmetic number, because the mean of its divisors is an integer number (137826).

Almost surely, 24294000 is an apocalyptic number.

4294000 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 4294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513040).

4294000 is an abundant number, since it is smaller than the sum of its proper divisors (6732080).

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

4294000 is a wasteful number, since it uses less digits than its factorization.

4294000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4294000 is about 2072.1969018411. The cubic root of 4294000 is about 162.5376638535.

Adding to 4294000 its reverse (4924), we get a palindrome (4298924).

The spelling of 4294000 in words is "four million, two hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 113 125 152 190 200 226 250 304 380 400 452 475 500 565 760 904 950 1000 1130 1520 1808 1900 2000 2147 2260 2375 2825 3800 4294 4520 4750 5650 7600 8588 9040 9500 10735 11300 14125 17176 19000 21470 22600 28250 34352 38000 42940 45200 53675 56500 85880 107350 113000 171760 214700 226000 268375 429400 536750 858800 1073500 2147000 4294000