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30505410 = 2345132897
BaseRepresentation
bin111010001011…
…1100111000010
32010101211120000
41310113213002
530302133120
63005500430
7520202025
oct164274702
963354500
1030505410
1116246191
12a271716
136421050
1440a11bc
152a28990
hex1d179c2

30505410 has 80 divisors (see below), whose sum is σ = 88365816. Its totient is φ = 7506432.

The previous prime is 30505399. The next prime is 30505421. The reversal of 30505410 is 1450503.

30505410 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (30505399) and next prime (30505421).

It can be written as a sum of positive squares in 4 ways, for example, as 12383361 + 18122049 = 3519^2 + 4257^2 .

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

It is an alternating number because its digits alternate between odd and even.

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 39 ways as a sum of consecutive naturals, for example, 9082 + ... + 11978.

Almost surely, 230505410 is an apocalyptic number.

30505410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30505410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44182908).

30505410 is an abundant number, since it is smaller than the sum of its proper divisors (57860406).

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

30505410 is a wasteful number, since it uses less digits than its factorization.

30505410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 30505410 is about 5523.1702852619. The cubic root of 30505410 is about 312.4584606119.

Adding to 30505410 its reverse (1450503), we get a palindrome (31955913).

The spelling of 30505410 in words is "thirty million, five hundred five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 2897 3510 5265 5794 8691 10530 14485 17382 26073 28970 37661 43455 52146 75322 78219 86910 112983 130365 156438 188305 225966 234657 260730 338949 376610 391095 469314 564915 677898 782190 1016847 1129830 1173285 1694745 2033694 2346570 3050541 3389490 5084235 6101082 10168470 15252705 30505410