Search a number
-
+
30311442 = 2337175389
BaseRepresentation
bin111001110100…
…0010000010010
32010000222111000
41303220100102
530224431232
63001402430
7515433360
oct163502022
963028430
1030311442
1116123487
12a199416
136383985
144050630
1529db27c
hex1ce8412

30311442 has 128 divisors (see below), whose sum is σ = 83980800. Its totient is φ = 7907328.

The previous prime is 30311429. The next prime is 30311453. The reversal of 30311442 is 24411303.

It is a super-2 number, since 2×303114422 = 1837567032238728, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340534 + ... + 340622.

It is an arithmetic number, because the mean of its divisors is an integer number (656100).

Almost surely, 230311442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30311442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41990400).

30311442 is an abundant number, since it is smaller than the sum of its proper divisors (53669358).

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

30311442 is a wasteful number, since it uses less digits than its factorization.

30311442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30311442 is about 5505.5828029374. The cubic root of 30311442 is about 311.7947985011.

Adding to 30311442 its reverse (24411303), we get a palindrome (54722745).

The spelling of 30311442 in words is "thirty million, three hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 53 54 63 89 102 106 119 126 153 159 178 189 238 267 306 318 357 371 378 459 477 534 623 714 742 801 901 918 954 1071 1113 1246 1431 1513 1602 1802 1869 2142 2226 2403 2703 2862 3026 3213 3339 3738 4539 4717 4806 5406 5607 6307 6426 6678 8109 9078 9434 10017 10591 11214 12614 13617 14151 16218 16821 18921 20034 21182 24327 27234 28302 31773 33019 33642 37842 40851 42453 48654 56763 63546 66038 80189 81702 84906 95319 99057 113526 127359 160378 170289 190638 198114 240567 254718 285957 297171 340578 481134 561323 571914 594342 721701 891513 1122646 1443402 1683969 1783026 2165103 3367938 4330206 5051907 10103814 15155721 30311442