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4034404240 = 245238326417
BaseRepresentation
bin1111000001111000…
…0001111110010000
3101102011102222012021
43300132001332100
531230301413430
61504155141224
7201655604326
oct36036017620
911364388167
104034404240
111790352689
12947144814
134c3aa9259
142a3b4bd16
151892be07a
hexf0781f90

4034404240 has 80 divisors (see below), whose sum is σ = 9906115968. Its totient is φ = 1524942848.

The previous prime is 4034404193. The next prime is 4034404243. The reversal of 4034404240 is 424044304.

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 (4034404243) 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, 139512 + ... + 165928.

Almost surely, 24034404240 is an apocalyptic number.

4034404240 is a gapful number since it is divisible by the number (40) 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 4034404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953057984).

4034404240 is an abundant number, since it is smaller than the sum of its proper divisors (5871711728).

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

4034404240 is a wasteful number, since it uses less digits than its factorization.

4034404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26536 (or 26530 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 4034404240 is about 63516.9602547225. The cubic root of 4034404240 is about 1591.9391764007.

Adding to 4034404240 its reverse (424044304), we get a palindrome (4458448544).

The spelling of 4034404240 in words is "four billion, thirty-four million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 83 92 115 166 184 230 332 368 415 460 664 830 920 1328 1660 1840 1909 3320 3818 6640 7636 9545 15272 19090 26417 30544 38180 52834 76360 105668 132085 152720 211336 264170 422672 528340 607591 1056680 1215182 2113360 2192611 2430364 3037955 4385222 4860728 6075910 8770444 9721456 10963055 12151820 17540888 21926110 24303640 35081776 43852220 48607280 50430053 87704440 100860106 175408880 201720212 252150265 403440424 504300530 806880848 1008601060 2017202120 4034404240