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30284480 = 2651719293
BaseRepresentation
bin111001110000…
…1101011000000
32002222121111102
41303201223000
530223100410
63001033532
7515261642
oct163415300
962877442
1030284480
11161051a6
12a1858a8
136374615
144044892
1529d32a5
hex1ce1ac0

30284480 has 112 divisors (see below), whose sum is σ = 80650080. Its totient is φ = 10764288.

The previous prime is 30284477. The next prime is 30284509. The reversal of 30284480 is 8448203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103214 + ... + 103506.

It is an arithmetic number, because the mean of its divisors is an integer number (720090).

Almost surely, 230284480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40325040).

30284480 is an abundant number, since it is smaller than the sum of its proper divisors (50365600).

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

30284480 is a wasteful number, since it uses less digits than its factorization.

30284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 30284480 is about 5503.1336527473. The cubic root of 30284480 is about 311.7023240141.

The spelling of 30284480 in words is "thirty million, two hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 136 152 160 170 190 272 293 304 320 323 340 380 544 586 608 646 680 760 1088 1172 1216 1292 1360 1465 1520 1615 2344 2584 2720 2930 3040 3230 4688 4981 5168 5440 5567 5860 6080 6460 9376 9962 10336 11134 11720 12920 18752 19924 20672 22268 23440 24905 25840 27835 39848 44536 46880 49810 51680 55670 79696 89072 93760 94639 99620 103360 111340 159392 178144 189278 199240 222680 318784 356288 378556 398480 445360 473195 757112 796960 890720 946390 1514224 1593920 1781440 1892780 3028448 3785560 6056896 7571120 15142240 30284480