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30080268 = 223319107137
BaseRepresentation
bin111001010111…
…1110100001100
32002121020101000
41302233310030
530200032033
62552420300
7513451401
oct162576414
962536330
1030080268
1115a85829
12a0a7690
13630269a
143dd02a8
152992a13
hex1cafd0c

30080268 has 96 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 9341568.

The previous prime is 30080233. The next prime is 30080291. The reversal of 30080268 is 86208003.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219496 + ... + 219632.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 230080268 is an apocalyptic number.

30080268 is a gapful number since it is divisible by the number (38) 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 30080268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

30080268 is an abundant number, since it is smaller than the sum of its proper divisors (53382132).

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

30080268 is a wasteful number, since it uses less digits than its factorization.

30080268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30080268 is about 5484.5481126525. The cubic root of 30080268 is about 311.0001275145. Note that the first 3 decimals are identical.

The spelling of 30080268 in words is "thirty million, eighty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 107 108 114 137 171 214 228 274 321 342 411 428 513 548 642 684 822 963 1026 1233 1284 1644 1926 2033 2052 2466 2603 2889 3699 3852 4066 4932 5206 5778 6099 7398 7809 8132 10412 11556 12198 14659 14796 15618 18297 23427 24396 29318 31236 36594 43977 46854 54891 58636 70281 73188 87954 93708 109782 131931 140562 175908 219564 263862 278521 281124 395793 527724 557042 791586 835563 1114084 1583172 1671126 2506689 3342252 5013378 7520067 10026756 15040134 30080268