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80334000 = 2432534463
BaseRepresentation
bin1001100100111…
…00110010110000
312121011101112100
410302130302300
5131031142000
611545500400
71663553625
oct462346260
9177141470
1080334000
114138a13a
1222aa1700
1313849416
14a95234c
1570bca00
hex4c9ccb0

80334000 has 120 divisors (see below), whose sum is σ = 280642752. Its totient is φ = 21417600.

The previous prime is 80333971. The next prime is 80334013. The reversal of 80334000 is 43308.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 15769 + ... + 20231.

Almost surely, 280334000 is an apocalyptic number.

80334000 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 80334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140321376).

80334000 is an abundant number, since it is smaller than the sum of its proper divisors (200308752).

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

80334000 is a wasteful number, since it uses less digits than its factorization.

80334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4473 counting only the distinct ones).

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

The square root of 80334000 is about 8962.9236301555. The cubic root of 80334000 is about 431.4857564110.

Adding to 80334000 its reverse (43308), we get a palindrome (80377308).

The spelling of 80334000 in words is "eighty million, three hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4463 4500 6000 8926 9000 13389 17852 18000 22315 26778 35704 40167 44630 53556 66945 71408 80334 89260 107112 111575 133890 160668 178520 200835 214224 223150 267780 321336 334725 357040 401670 446300 535560 557875 642672 669450 803340 892600 1004175 1071120 1115750 1338900 1606680 1673625 1785200 2008350 2231500 2677800 3213360 3347250 4016700 4463000 5020875 5355600 6694500 8033400 8926000 10041750 13389000 16066800 20083500 26778000 40167000 80334000