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30350880 = 2532573011
BaseRepresentation
bin111001111000…
…1111000100000
32010002222120200
41303301320200
530232212010
63002305200
7515656350
oct163617040
963088520
1030350880
111615007a
12a1b8200
136398901
144060b60
1529e7cc0
hex1cf1e20

30350880 has 144 divisors (see below), whose sum is σ = 118407744. Its totient is φ = 6935040.

The previous prime is 30350851. The next prime is 30350893. The reversal of 30350880 is 8805303.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8575 + ... + 11585.

It is an arithmetic number, because the mean of its divisors is an integer number (822276).

Almost surely, 230350880 is an apocalyptic number.

30350880 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 30350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59203872).

30350880 is an abundant number, since it is smaller than the sum of its proper divisors (88056864).

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

30350880 is a wasteful number, since it uses less digits than its factorization.

30350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3028 counting only the distinct ones).

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

The square root of 30350880 is about 5509.1632758523. The cubic root of 30350880 is about 311.9299645563.

The spelling of 30350880 in words is "thirty million, three hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3011 3360 5040 6022 9033 10080 12044 15055 18066 21077 24088 27099 30110 36132 42154 45165 48176 54198 60220 63231 72264 84308 90330 96352 105385 108396 120440 126462 135495 144528 168616 180660 189693 210770 216792 240880 252924 270990 289056 316155 337232 361320 379386 421540 433584 481760 505848 541980 632310 674464 722640 758772 843080 867168 948465 1011696 1083960 1264620 1445280 1517544 1686160 1896930 2023392 2167920 2529240 3035088 3372320 3793860 4335840 5058480 6070176 7587720 10116960 15175440 30350880