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4313988 = 22327171953
BaseRepresentation
bin10000011101001110000100
322010011200100
4100131032010
52101021423
6232244100
751445140
oct20351604
98104610
104313988
112487188
121540630
13b80773
14804220
155a3343
hex41d384

4313988 has 144 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1078272.

The previous prime is 4313983. The next prime is 4313999. The reversal of 4313988 is 8893134.

It is a super-2 number, since 2×43139882 = 37220984928288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4313983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81370 + ... + 81422.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 24313988 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 4313988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4313988 is an abundant number, since it is smaller than the sum of its proper divisors (9838332).

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

4313988 is a wasteful number, since it uses less digits than its factorization.

4313988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4313988 is about 2077.0142031291. The cubic root of 4313988 is about 162.7894706308.

Adding to 4313988 its product of digits (20736), we get a square (4334724 = 20822).

The spelling of 4313988 in words is "four million, three hundred thirteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 53 57 63 68 76 84 102 106 114 119 126 133 153 159 171 204 212 228 238 252 266 306 318 323 342 357 371 399 476 477 532 612 636 646 684 714 742 798 901 954 969 1007 1071 1113 1197 1292 1428 1484 1596 1802 1908 1938 2014 2142 2226 2261 2394 2703 2907 3021 3339 3604 3876 4028 4284 4452 4522 4788 5406 5814 6042 6307 6678 6783 7049 8109 9044 9063 10812 11628 12084 12614 13356 13566 14098 16218 17119 18126 18921 20349 21147 25228 27132 28196 32436 34238 36252 37842 40698 42294 51357 56763 63441 68476 75684 81396 84588 102714 113526 119833 126882 154071 205428 227052 239666 253764 308142 359499 479332 616284 718998 1078497 1437996 2156994 4313988