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80353440 = 25325411361
BaseRepresentation
bin1001100101000…
…01100010100000
312121012101012100
410302201202200
5131032302230
611550130400
71663664406
oct462414240
9177171170
1080353440
11413a2802
1222ab0a00
131385521b
14a959476
1570c3660
hex4ca18a0

80353440 has 144 divisors (see below), whose sum is σ = 281100456. Its totient is φ = 20889600.

The previous prime is 80353439. The next prime is 80353499. The reversal of 80353440 is 4435308.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29030544 + 51322896 = 5388^2 + 7164^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 58360 + ... + 59720.

Almost surely, 280353440 is an apocalyptic number.

80353440 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 80353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140550228).

80353440 is an abundant number, since it is smaller than the sum of its proper divisors (200747016).

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

80353440 is a wasteful number, since it uses less digits than its factorization.

80353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 80353440 is about 8964.0080321249. The cubic root of 80353440 is about 431.5205586392.

Adding to 80353440 its reverse (4435308), we get a palindrome (84788748).

The spelling of 80353440 in words is "eighty million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1361 1440 1476 1640 1845 1968 2460 2722 2952 3280 3690 3936 4083 4920 5444 5904 6560 6805 7380 8166 9840 10888 11808 12249 13610 14760 16332 19680 20415 21776 24498 27220 29520 32664 40830 43552 48996 54440 55801 59040 61245 65328 81660 97992 108880 111602 122490 130656 163320 167403 195984 217760 223204 244980 279005 326640 334806 391968 446408 489960 502209 558010 653280 669612 837015 892816 979920 1004418 1116020 1339224 1674030 1785632 1959840 2008836 2232040 2511045 2678448 3348060 4017672 4464080 5022090 5356896 6696120 8035344 8928160 10044180 13392240 16070688 20088360 26784480 40176720 80353440