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34043240040 = 2335347817561
BaseRepresentation
bin11111101101001000…
…101001111001101000
310020212112100210000020
4133231020221321220
51024210032140130
623350024440440
72313423523455
oct375510517150
9106775323006
1034043240040
111348a581127
126721019120
133296c46024
14190d41682c
15d43a90e10
hex7ed229e68

34043240040 has 64 divisors (see below), whose sum is σ = 102424167360. Its totient is φ = 9052024320.

The previous prime is 34043240039. The next prime is 34043240047. The reversal of 34043240040 is 4004234043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34043240047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367141 + ... + 450420.

It is an arithmetic number, because the mean of its divisors is an integer number (1600377615).

Almost surely, 234043240040 is an apocalyptic number.

34043240040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34043240040 is an abundant number, since it is smaller than the sum of its proper divisors (68380927320).

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

34043240040 is a wasteful number, since it uses less digits than its factorization.

34043240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817922 (or 817918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34043240040 its reverse (4004234043), we get a palindrome (38047474083).

The spelling of 34043240040 in words is "thirty-four billion, forty-three million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 10410 13880 20820 41640 817561 1635122 2452683 3270244 4087805 4905366 6540488 8175610 9810732 12263415 16351220 19621464 24526830 32702440 49053660 98107320 283693667 567387334 851081001 1134774668 1418468335 1702162002 2269549336 2836936670 3404324004 4255405005 5673873340 6808648008 8510810010 11347746680 17021620020 34043240040