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348225480 = 23345313467
BaseRepresentation
bin10100110000010…
…111111111001000
3220021020200120000
4110300113333020
51203121203410
654315403000
711425603431
oct2460277710
9807220500
10348225480
11169622a59
1298753460
13571b45a5
1434368488
1520887dc0
hex14c17fc8

348225480 has 160 divisors (see below), whose sum is σ = 1208528640. Its totient is φ = 89838720.

The previous prime is 348225473. The next prime is 348225487. The reversal of 348225480 is 84522843.

348225480 is a `hidden beast` number, since 34 + 82 + 2 + 548 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (348225473) and next prime (348225487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (348225487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98707 + ... + 102173.

It is an arithmetic number, because the mean of its divisors is an integer number (7553304).

Almost surely, 2348225480 is an apocalyptic number.

348225480 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 348225480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604264320).

348225480 is an abundant number, since it is smaller than the sum of its proper divisors (860303160).

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

348225480 is a wasteful number, since it uses less digits than its factorization.

348225480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 348225480 is about 18660.8006259110. The cubic root of 348225480 is about 703.5368477842.

The spelling of 348225480 in words is "three hundred forty-eight million, two hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 465 540 558 620 648 744 810 837 930 1080 1116 1240 1395 1620 1674 1860 2232 2511 2790 3240 3348 3467 3720 4185 5022 5580 6696 6934 8370 10044 10401 11160 12555 13868 16740 17335 20088 20802 25110 27736 31203 33480 34670 41604 50220 52005 62406 69340 83208 93609 100440 104010 107477 124812 138680 156015 187218 208020 214954 249624 280827 312030 322431 374436 416040 429908 468045 537385 561654 624060 644862 748872 859816 936090 967293 1074770 1123308 1248120 1289724 1404135 1612155 1872180 1934586 2149540 2246616 2579448 2808270 2901879 3224310 3744360 3869172 4299080 4836465 5616540 5803758 6448620 7738344 8705637 9672930 11233080 11607516 12897240 14509395 17411274 19345860 23215032 29018790 34822548 38691720 43528185 58037580 69645096 87056370 116075160 174112740 348225480