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30444414 = 237111337137
BaseRepresentation
bin111010000100…
…0101101111110
32010021201212220
41310020231332
530243210124
63004310210
7516526140
oct164105576
963251786
1030444414
1116204380
12a242366
1363cc360
144086c90
152a15879
hex1d08b7e

30444414 has 128 divisors (see below), whose sum is σ = 84575232. Its totient is φ = 7050240.

The previous prime is 30444397. The next prime is 30444437. The reversal of 30444414 is 41444403.

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, 222154 + ... + 222290.

It is an arithmetic number, because the mean of its divisors is an integer number (660744).

Almost surely, 230444414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30444414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42287616).

30444414 is an abundant number, since it is smaller than the sum of its proper divisors (54130818).

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

30444414 is a wasteful number, since it uses less digits than its factorization.

30444414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 30444414 is about 5517.6456935907. The cubic root of 30444414 is about 312.2500666132.

Adding to 30444414 its reverse (41444403), we get a palindrome (71888817).

It can be divided in two parts, 30 and 444414, that added together give a palindrome (444444).

The spelling of 30444414 in words is "thirty million, four hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 137 143 154 182 222 231 259 273 274 286 407 411 429 462 481 518 546 777 814 822 858 959 962 1001 1221 1443 1507 1554 1781 1918 2002 2442 2849 2877 2886 3003 3014 3367 3562 4521 5069 5291 5343 5698 5754 6006 6734 8547 9042 10101 10138 10549 10582 10686 12467 15207 15873 17094 19591 20202 21098 24934 30414 31647 31746 35483 37037 37401 39182 55759 58773 63294 65897 70966 74074 74802 106449 111111 111518 117546 131794 137137 167277 197691 212898 222222 274274 334554 390313 395382 411411 461279 724867 780626 822822 922558 1170939 1383837 1449734 2174601 2341878 2767674 4349202 5074069 10148138 15222207 30444414