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8340480 = 210325181
BaseRepresentation
bin11111110100010000000000
3120200201222200
4133310100000
54113343410
6454433200
7130615161
oct37642000
916621880
108340480
114787365
122962800
1319603c5
141171768
15aeb3c0
hex7f4400

8340480 has 132 divisors (see below), whose sum is σ = 29059212. Its totient is φ = 2211840.

The previous prime is 8340473. The next prime is 8340509. The reversal of 8340480 is 840438.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 7225344 = 1056^2 + 2688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45990 + ... + 46170.

Almost surely, 28340480 is an apocalyptic number.

8340480 is a gapful number since it is divisible by the number (80) 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 8340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529606).

8340480 is an abundant number, since it is smaller than the sum of its proper divisors (20718732).

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

8340480 is a wasteful number, since it uses less digits than its factorization.

8340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

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

The square root of 8340480 is about 2887.9889196463. The cubic root of 8340480 is about 202.7980065862.

The spelling of 8340480 in words is "eight million, three hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 181 192 240 256 288 320 360 362 384 480 512 543 576 640 720 724 768 905 960 1024 1086 1152 1280 1440 1448 1536 1629 1810 1920 2172 2304 2560 2715 2880 2896 3072 3258 3620 3840 4344 4608 5120 5430 5760 5792 6516 7240 7680 8145 8688 9216 10860 11520 11584 13032 14480 15360 16290 17376 21720 23040 23168 26064 28960 32580 34752 43440 46080 46336 52128 57920 65160 69504 86880 92672 104256 115840 130320 139008 173760 185344 208512 231680 260640 278016 347520 417024 463360 521280 556032 695040 834048 926720 1042560 1390080 1668096 2085120 2780160 4170240 8340480