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4303040 = 265717113
BaseRepresentation
bin10000011010100011000000
322002121122212
4100122203000
52100144130
6232121252
751401210
oct20324300
98077585
104303040
112479a35
121536228
13b787a1
14800240
1559ee95
hex41a8c0

4303040 has 112 divisors (see below), whose sum is σ = 12508992. Its totient is φ = 1376256.

The previous prime is 4303027. The next prime is 4303043. The reversal of 4303040 is 403034.

4303040 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4303043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38024 + ... + 38136.

Almost surely, 24303040 is an apocalyptic number.

4303040 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 4303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254496).

4303040 is an abundant number, since it is smaller than the sum of its proper divisors (8205952).

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

4303040 is a wasteful number, since it uses less digits than its factorization.

4303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 4303040 is about 2074.3770149132. The cubic root of 4303040 is about 162.6516454223.

Adding to 4303040 its reverse (403034), we get a palindrome (4706074).

The spelling of 4303040 in words is "four million, three hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 113 119 136 140 160 170 224 226 238 272 280 320 340 448 452 476 544 560 565 595 680 791 904 952 1088 1120 1130 1190 1360 1582 1808 1904 1921 2240 2260 2380 2720 3164 3616 3808 3842 3955 4520 4760 5440 6328 7232 7616 7684 7910 9040 9520 9605 12656 13447 15368 15820 18080 19040 19210 25312 26894 30736 31640 36160 38080 38420 50624 53788 61472 63280 67235 76840 107576 122944 126560 134470 153680 215152 253120 268940 307360 430304 537880 614720 860608 1075760 2151520 4303040