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30278640 = 2435767269
BaseRepresentation
bin111001110000…
…0001111110000
32002222022111010
41303200033300
530222404030
63000550520
7515235630
oct163401760
962868433
1030278640
1116100877
12a182440
136371a72
1440426c0
1529d16b0
hex1ce03f0

30278640 has 160 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 6792192.

The previous prime is 30278569. The next prime is 30278663. The reversal of 30278640 is 4687203.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 30278598 and 30278607.

It is a congruent number.

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, 112426 + ... + 112694.

It is an arithmetic number, because the mean of its divisors is an integer number (682992).

Almost surely, 230278640 is an apocalyptic number.

30278640 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 30278640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

30278640 is an abundant number, since it is smaller than the sum of its proper divisors (79000080).

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

30278640 is a wasteful number, since it uses less digits than its factorization.

30278640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 30278640 is about 5502.6030203895. The cubic root of 30278640 is about 311.6822867035.

The spelling of 30278640 in words is "thirty million, two hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 269 280 335 336 402 420 469 536 538 560 670 804 807 840 938 1005 1072 1076 1340 1345 1407 1608 1614 1680 1876 1883 2010 2152 2345 2680 2690 2814 3216 3228 3752 3766 4020 4035 4304 4690 5360 5380 5628 5649 6456 7035 7504 7532 8040 8070 9380 9415 10760 11256 11298 12912 14070 15064 16080 16140 18023 18760 18830 21520 22512 22596 28140 28245 30128 32280 36046 37520 37660 45192 54069 56280 56490 64560 72092 75320 90115 90384 108138 112560 112980 126161 144184 150640 180230 216276 225960 252322 270345 288368 360460 378483 432552 451920 504644 540690 630805 720920 756966 865104 1009288 1081380 1261610 1441840 1513932 1892415 2018576 2162760 2523220 3027864 3784830 4325520 5046440 6055728 7569660 10092880 15139320 30278640