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2034423440 = 24574318429
BaseRepresentation
bin111100101000010…
…1101011010010000
312020210010102022022
41321100231122100
513131303022230
6533512431012
7101262212450
oct17120553220
95223112268
102034423440
11954419495
124893a8468
1326563a86a
14154299d60
15bd9121e5
hex7942d690

2034423440 has 80 divisors (see below), whose sum is σ = 5418938880. Its totient is φ = 695815680.

The previous prime is 2034423437. The next prime is 2034423449. The reversal of 2034423440 is 443244302.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2034423449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237146 + ... + 245574.

It is an arithmetic number, because the mean of its divisors is an integer number (67736736).

Almost surely, 22034423440 is an apocalyptic number.

2034423440 is a gapful number since it is divisible by the number (20) 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 2034423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709469440).

2034423440 is an abundant number, since it is smaller than the sum of its proper divisors (3384515440).

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

2034423440 is a wasteful number, since it uses less digits than its factorization.

2034423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8880 (or 8874 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2034423440 is about 45104.5833591222. The cubic root of 2034423440 is about 1267.1084399345.

Adding to 2034423440 its reverse (443244302), we get a palindrome (2477667742).

The spelling of 2034423440 in words is "two billion, thirty-four million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 431 560 862 1724 2155 3017 3448 4310 6034 6896 8429 8620 12068 15085 16858 17240 24136 30170 33716 34480 42145 48272 59003 60340 67432 84290 118006 120680 134864 168580 236012 241360 295015 337160 472024 590030 674320 944048 1180060 2360120 3632899 4720240 7265798 14531596 18164495 25430293 29063192 36328990 50860586 58126384 72657980 101721172 127151465 145315960 203442344 254302930 290631920 406884688 508605860 1017211720 2034423440