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30284280 = 2334513719
BaseRepresentation
bin111001110000…
…1100111111000
32002222121020000
41303201213320
530223044110
63001033000
7515261235
oct163414770
962877200
1030284280
1116105034
12a185760
1363744c0
14404478c
1529d31c0
hex1ce19f8

30284280 has 160 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 7444224.

The previous prime is 30284279. The next prime is 30284291. The reversal of 30284280 is 8248203.

30284280 is a `hidden beast` number, since 302 + 84 + 280 = 666.

It is a super-3 number, since 3×302842803 (a number of 23 digits) contains 333 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41761 + ... + 42479.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 230284280 is an apocalyptic number.

30284280 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 30284280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

30284280 is an abundant number, since it is smaller than the sum of its proper divisors (79486920).

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

30284280 is a wasteful number, since it uses less digits than its factorization.

30284280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 30284280 is about 5503.1154812524. The cubic root of 30284280 is about 311.7016378474.

The spelling of 30284280 in words is "thirty million, two hundred eighty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 719 780 810 936 1053 1080 1170 1404 1438 1560 1620 1755 2106 2157 2340 2808 2876 3240 3510 3595 4212 4314 4680 5265 5752 6471 7020 7190 8424 8628 9347 10530 10785 12942 14040 14380 17256 18694 19413 21060 21570 25884 28041 28760 32355 37388 38826 42120 43140 46735 51768 56082 58239 64710 74776 77652 84123 86280 93470 97065 112164 116478 129420 140205 155304 168246 186940 194130 224328 232956 252369 258840 280410 291195 336492 373880 388260 420615 465912 504738 560820 582390 672984 757107 776520 841230 1009476 1121640 1164780 1261845 1514214 1682460 2018952 2329560 2523690 3028428 3364920 3785535 5047380 6056856 7571070 10094760 15142140 30284280