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30041440 = 25511132101
BaseRepresentation
bin111001010011…
…0010101100000
32002112021002221
41302212111200
530142311230
62551520424
7513230242
oct162462540
962467087
1030041440
1115a59640
12a089114
1362bab00
143dc0092
15298627a
hex1ca6560

30041440 has 144 divisors (see below), whose sum is σ = 84668976. Its totient is φ = 9984000.

The previous prime is 30041423. The next prime is 30041441. The reversal of 30041440 is 4414003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30041441) 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 23 ways as a sum of consecutive naturals, for example, 297390 + ... + 297490.

It is an arithmetic number, because the mean of its divisors is an integer number (587979).

Almost surely, 230041440 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 30041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42334488).

30041440 is an abundant number, since it is smaller than the sum of its proper divisors (54627536).

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

30041440 is a wasteful number, since it uses less digits than its factorization.

30041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 30041440 is about 5481.0072067094. The cubic root of 30041440 is about 310.8662555642.

Adding to 30041440 its reverse (4414003), we get a palindrome (34455443).

It can be divided in two parts, 3004 and 1440, that added together give a palindrome (4444).

The spelling of 30041440 in words is "thirty million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 101 104 110 130 143 160 169 176 202 208 220 260 286 338 352 404 416 440 505 520 572 676 715 808 845 880 1010 1040 1111 1144 1313 1352 1430 1616 1690 1760 1859 2020 2080 2222 2288 2626 2704 2860 3232 3380 3718 4040 4444 4576 5252 5408 5555 5720 6565 6760 7436 8080 8888 9295 10504 11110 11440 13130 13520 14443 14872 16160 17069 17776 18590 21008 22220 22880 26260 27040 28886 29744 34138 35552 37180 42016 44440 52520 57772 59488 68276 72215 74360 85345 88880 105040 115544 136552 144430 148720 170690 177760 187759 210080 231088 273104 288860 297440 341380 375518 462176 546208 577720 682760 751036 938795 1155440 1365520 1502072 1877590 2310880 2731040 3004144 3755180 6008288 7510360 15020720 30041440