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34353235040 = 2551012125819
BaseRepresentation
bin11111111111100111…
…001100010001100000
310021200010200011012112
4133333213030101200
51030323412010130
623440501014452
72324206452125
oct377747142140
9107603604175
1034353235040
1113629561a43
1267a89b4428
133316233317
14193c66c74c
15d60dc6495
hex7ff9cc460

34353235040 has 48 divisors (see below), whose sum is σ = 81963115920. Its totient is φ = 13605235200.

The previous prime is 34353235003. The next prime is 34353235043. The reversal of 34353235040 is 4053235343.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 34353234988 and 34353235006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34353235043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046750 + ... + 1079069.

It is an arithmetic number, because the mean of its divisors is an integer number (1707564915).

Almost surely, 234353235040 is an apocalyptic number.

It is an amenable number.

34353235040 is an abundant number, since it is smaller than the sum of its proper divisors (47609880880).

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

34353235040 is a wasteful number, since it uses less digits than its factorization.

34353235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125935 (or 2125927 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 32.

The spelling of 34353235040 in words is "thirty-four billion, three hundred fifty-three million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 2125819 4251638 8503276 10629095 17006552 21258190 34013104 42516380 68026208 85032760 170065520 214707719 340131040 429415438 858830876 1073538595 1717661752 2147077190 3435323504 4294154380 6870647008 8588308760 17176617520 34353235040