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34023413040 = 2435141764221
BaseRepresentation
bin11111101011111101…
…000001010100110000
310020211011001110110220
4133223331001110300
51024134443204130
623344035453040
72313063145011
oct375375012460
9106734043426
1034023413040
111347a369881
126716457180
133292ac3586
14190a935008
15d41e76410
hex7ebf41530

34023413040 has 40 divisors (see below), whose sum is σ = 105472581168. Its totient is φ = 9072910080.

The previous prime is 34023413027. The next prime is 34023413041. The reversal of 34023413040 is 4031432043.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34023413040.

It is not an unprimeable number, because it can be changed into a prime (34023413041) 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 7 ways as a sum of consecutive naturals, for example, 70881871 + ... + 70882350.

Almost surely, 234023413040 is an apocalyptic number.

34023413040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34023413040 is an abundant number, since it is smaller than the sum of its proper divisors (71449168128).

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

34023413040 is a wasteful number, since it uses less digits than its factorization.

34023413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141764237 (or 141764231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34023413040 its reverse (4031432043), we get a palindrome (38054845083).

The spelling of 34023413040 in words is "thirty-four billion, twenty-three million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 141764221 283528442 425292663 567056884 708821105 850585326 1134113768 1417642210 1701170652 2126463315 2268227536 2835284420 3402341304 4252926630 5670568840 6804682608 8505853260 11341137680 17011706520 34023413040