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314421480 = 233352910039
BaseRepresentation
bin10010101111011…
…011000011101000
3210220122021012000
4102233123003220
51120442441410
651111051000
710535352462
oct2257330350
9726567160
10314421480
1115153456a
1289370a60
13501aa019
142da89132
151c90bdc0
hex12bdb0e8

314421480 has 128 divisors (see below), whose sum is σ = 1084320000. Its totient is φ = 80946432.

The previous prime is 314421473. The next prime is 314421491. The reversal of 314421480 is 84124413.

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

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, 26301 + ... + 36339.

It is an arithmetic number, because the mean of its divisors is an integer number (8471250).

Almost surely, 2314421480 is an apocalyptic number.

314421480 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 314421480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542160000).

314421480 is an abundant number, since it is smaller than the sum of its proper divisors (769898520).

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

314421480 is a wasteful number, since it uses less digits than its factorization.

314421480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10078 counting only the distinct ones).

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

The square root of 314421480 is about 17731.9339046817. The cubic root of 314421480 is about 679.9924162937.

Adding to 314421480 its reverse (84124413), we get a palindrome (398545893).

The spelling of 314421480 in words is "three hundred fourteen million, four hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10039 10440 15660 20078 30117 31320 40156 50195 60234 80312 90351 100390 120468 150585 180702 200780 240936 271053 291131 301170 361404 401560 451755 542106 582262 602340 722808 873393 903510 1084212 1164524 1204680 1355265 1455655 1746786 1807020 2168424 2329048 2620179 2710530 2911310 3493572 3614040 4366965 5240358 5421060 5822620 6987144 7860537 8733930 10480716 10842120 11645240 13100895 15721074 17467860 20961432 26201790 31442148 34935720 39302685 52403580 62884296 78605370 104807160 157210740 314421480