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30508380 = 22335721153
BaseRepresentation
bin111010001100…
…0010101011100
32010101222122000
41310120111130
530302232010
63005522300
7520213500
oct164302534
963358560
1030508380
1116248441
12a273390
1364224c6
1440a2300
152a297c0
hex1d1855c

30508380 has 144 divisors (see below), whose sum is σ = 110507040. Its totient is φ = 6967296.

The previous prime is 30508351. The next prime is 30508381. The reversal of 30508380 is 8380503.

It is a super-3 number, since 3×305083803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30508381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25884 + ... + 27036.

It is an arithmetic number, because the mean of its divisors is an integer number (767410).

Almost surely, 230508380 is an apocalyptic number.

30508380 is a gapful number since it is divisible by the number (30) 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 30508380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55253520).

30508380 is an abundant number, since it is smaller than the sum of its proper divisors (79998660).

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

30508380 is a wasteful number, since it uses less digits than its factorization.

30508380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30508380 is about 5523.4391460394. The cubic root of 30508380 is about 312.4686005785.

Adding to 30508380 its reverse (8380503), we get a palindrome (38888883).

The spelling of 30508380 in words is "thirty million, five hundred eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1153 1260 1323 1470 1764 1890 2205 2306 2646 2940 3459 3780 4410 4612 5292 5765 6615 6918 8071 8820 10377 11530 13230 13836 16142 17295 20754 23060 24213 26460 31131 32284 34590 40355 41508 48426 51885 56497 62262 69180 72639 80710 96852 103770 112994 121065 124524 145278 155655 161420 169491 207540 217917 225988 242130 282485 290556 311310 338982 363195 435834 484260 508473 564970 622620 677964 726390 847455 871668 1016946 1089585 1129940 1452780 1525419 1694910 2033892 2179170 2542365 3050838 3389820 4358340 5084730 6101676 7627095 10169460 15254190 30508380