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30442410 = 232517101197
BaseRepresentation
bin111010000100…
…0001110101010
32010021122010200
41310020032222
530243124120
63004253030
7516520245
oct164101652
963248120
1030442410
1116202919
12a241176
1363cb47b
14408625c
152a14e90
hex1d083aa

30442410 has 96 divisors (see below), whose sum is σ = 85065552. Its totient is φ = 7526400.

The previous prime is 30442331. The next prime is 30442411. The reversal of 30442410 is 1424403.

It can be written as a sum of positive squares in 8 ways, for example, as 30173049 + 269361 = 5493^2 + 519^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30442411) 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 47 ways as a sum of consecutive naturals, for example, 154432 + ... + 154628.

Almost surely, 230442410 is an apocalyptic number.

30442410 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 30442410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42532776).

30442410 is an abundant number, since it is smaller than the sum of its proper divisors (54623142).

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

30442410 is a wasteful number, since it uses less digits than its factorization.

30442410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 30442410 is about 5517.4640914101. The cubic root of 30442410 is about 312.2432151881.

Adding to 30442410 its reverse (1424403), we get a palindrome (31866813).

The spelling of 30442410 in words is "thirty million, four hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 101 102 153 170 197 202 255 303 306 394 505 510 591 606 765 909 985 1010 1182 1515 1530 1717 1773 1818 1970 2955 3030 3349 3434 3546 4545 5151 5910 6698 8585 8865 9090 10047 10302 15453 16745 17170 17730 19897 20094 25755 30141 30906 33490 39794 50235 51510 59691 60282 77265 99485 100470 119382 150705 154530 179073 198970 298455 301410 338249 358146 596910 676498 895365 1014747 1691245 1790730 2029494 3044241 3382490 5073735 6088482 10147470 15221205 30442410