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305140110 = 235113767373
BaseRepresentation
bin10010001100000…
…001000110001110
3210021011201112120
4102030001012032
51111103440420
650140113410
710363435212
oct2214010616
9707151476
10305140110
11147275310
1286235866
134b2aa5a2
142c750942
151bbc6d40
hex1230118e

305140110 has 128 divisors (see below), whose sum is σ = 834983424. Its totient is φ = 70709760.

The previous prime is 305140109. The next prime is 305140111. The reversal of 305140110 is 11041503.

305140110 = 21012 + 21022 + ... + 21672.

It is an interprime number because it is at equal distance from previous prime (305140109) and next prime (305140111).

It is a super-2 number, since 2×3051401102 = 186220973461624200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 305140110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305140111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 817884 + ... + 818256.

It is an arithmetic number, because the mean of its divisors is an integer number (6523308).

Almost surely, 2305140110 is an apocalyptic number.

305140110 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 305140110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417491712).

305140110 is an abundant number, since it is smaller than the sum of its proper divisors (529843314).

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

305140110 is a wasteful number, since it uses less digits than its factorization.

305140110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 305140110 is about 17468.2600736307. The cubic root of 305140110 is about 673.2346076757.

Adding to 305140110 its reverse (11041503), we get a palindrome (316181613).

The spelling of 305140110 in words is "three hundred five million, one hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 67 74 110 111 134 165 185 201 222 330 335 370 373 402 407 555 670 737 746 814 1005 1110 1119 1221 1474 1865 2010 2035 2211 2238 2442 2479 3685 3730 4070 4103 4422 4958 5595 6105 7370 7437 8206 11055 11190 12210 12309 12395 13801 14874 20515 22110 24618 24790 24991 27269 27602 37185 41030 41403 49982 54538 61545 69005 74370 74973 81807 82806 123090 124955 136345 138010 149946 151811 163614 207015 249910 272690 274901 303622 374865 409035 414030 455433 549802 749730 759055 818070 824703 910866 924667 1374505 1518110 1649406 1849334 2277165 2749010 2774001 4123515 4554330 4623335 5548002 8247030 9246670 10171337 13870005 20342674 27740010 30514011 50856685 61028022 101713370 152570055 305140110