Search a number
-
+
4312440 = 23345113
BaseRepresentation
bin10000011100110101111000
322010002120000
4100130311320
52100444230
6232233000
751440466
oct20346570
98102500
104312440
112486000
12153b760
13b7cb52
14803836
155a2b60
hex41cd78

4312440 has 160 divisors (see below), whose sum is σ = 15942960. Its totient is φ = 1045440.

The previous prime is 4312433. The next prime is 4312447. The reversal of 4312440 is 442134.

It is an interprime number because it is at equal distance from previous prime (4312433) and next prime (4312447).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 392035 + ... + 392045.

Almost surely, 24312440 is an apocalyptic number.

4312440 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 4312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971480).

4312440 is an abundant number, since it is smaller than the sum of its proper divisors (11630520).

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

4312440 is a wasteful number, since it uses less digits than its factorization.

4312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4312440 is about 2076.6415193769. The cubic root of 4312440 is about 162.7699969058.

Adding to 4312440 its reverse (442134), we get a palindrome (4754574).

The spelling of 4312440 in words is "four million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 121 132 135 162 165 180 198 216 220 242 264 270 297 324 330 360 363 396 405 440 484 495 540 594 605 648 660 726 792 810 891 968 990 1080 1089 1188 1210 1320 1331 1452 1485 1620 1782 1815 1980 2178 2376 2420 2662 2904 2970 3240 3267 3564 3630 3960 3993 4356 4455 4840 5324 5445 5940 6534 6655 7128 7260 7986 8712 8910 9801 10648 10890 11880 11979 13068 13310 14520 15972 16335 17820 19602 19965 21780 23958 26136 26620 31944 32670 35640 35937 39204 39930 43560 47916 49005 53240 59895 65340 71874 78408 79860 95832 98010 107811 119790 130680 143748 159720 179685 196020 215622 239580 287496 359370 392040 431244 479160 539055 718740 862488 1078110 1437480 2156220 4312440