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30238416 = 24321329557
BaseRepresentation
bin111001101011…
…0011011010000
32002220021022100
41303112123100
530220112131
63000040400
7515010435
oct163263320
962807270
1030238416
111608362a
12a163100
136359670
144031b8c
1529c47e6
hex1cd66d0

30238416 has 120 divisors (see below), whose sum is σ = 94447080. Its totient is φ = 8967168.

The previous prime is 30238409. The next prime is 30238421. The reversal of 30238416 is 61483203.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32400 + 30206016 = 180^2 + 5496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30238416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54010 + ... + 54566.

It is an arithmetic number, because the mean of its divisors is an integer number (787059).

Almost surely, 230238416 is an apocalyptic number.

30238416 is a gapful number since it is divisible by the number (36) 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 30238416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223540).

30238416 is an abundant number, since it is smaller than the sum of its proper divisors (64208664).

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

30238416 is a wasteful number, since it uses less digits than its factorization.

30238416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30238416 is about 5498.9468082534. The cubic root of 30238416 is about 311.5442062604.

The spelling of 30238416 in words is "thirty million, two hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 557 624 696 754 936 1044 1114 1131 1392 1508 1671 1872 2088 2228 2262 3016 3342 3393 4176 4456 4524 5013 6032 6684 6786 7241 8912 9048 10026 13368 13572 14482 16153 18096 20052 21723 26736 27144 28964 32306 40104 43446 48459 54288 57928 64612 65169 80208 86892 96918 115856 129224 130338 145377 173784 193836 209989 258448 260676 290754 347568 387672 419978 521352 581508 629967 775344 839956 1042704 1163016 1259934 1679912 1889901 2326032 2519868 3359824 3779802 5039736 7559604 10079472 15119208 30238416