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134401320 = 233251721961
BaseRepresentation
bin10000000001011…
…00110100101000
3100100220021221200
420000230310220
5233401320240
621200404200
73221251404
oct1000546450
9310807850
10134401320
1169958779
1239016660
1321ac9c11
1413bc8104
15bbec930
hex802cd28

134401320 has 96 divisors (see below), whose sum is σ = 462519720. Its totient is φ = 33730560.

The previous prime is 134401313. The next prime is 134401339. The reversal of 134401320 is 23104431.

134401320 is a `hidden beast` number, since 1 + 344 + 0 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130919364 + 3481956 = 11442^2 + 1866^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134401293 and 134401302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4861 + ... + 17100.

Almost surely, 2134401320 is an apocalyptic number.

134401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134401320 is an abundant number, since it is smaller than the sum of its proper divisors (328118400).

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

134401320 is a wasteful number, since it uses less digits than its factorization.

134401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21995 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134401320 is about 11593.1583272204. The cubic root of 134401320 is about 512.2333429384.

Adding to 134401320 its reverse (23104431), we get a palindrome (157505751).

The spelling of 134401320 in words is "one hundred thirty-four million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 21961 43922 65883 87844 109805 131766 175688 197649 219610 263532 329415 373337 395298 439220 527064 658830 746674 790596 878440 988245 1120011 1317660 1493348 1581192 1866685 1976490 2240022 2635320 2986696 3360033 3733370 3952980 4480044 5600055 6720066 7466740 7905960 8960088 11200110 13440132 14933480 16800165 22400220 26880264 33600330 44800440 67200660 134401320