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34345051000 = 2353132641927
BaseRepresentation
bin11111111111000111…
…111110001101111000
310021122120021100210221
4133333013332031320
51030314313113000
623440005345424
72324050055011
oct377707761570
9107576240727
1034345051000
1113624982177
1267a6108274
1333146291b0
14193b53c008
15d6030b61a
hex7ff1fe378

34345051000 has 64 divisors (see below), whose sum is σ = 86549561280. Its totient is φ = 12681244800.

The previous prime is 34345050973. The next prime is 34345051007. The reversal of 34345051000 is 15054343.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345051007) 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, 1307964 + ... + 1333963.

It is an arithmetic number, because the mean of its divisors is an integer number (1352336895).

Almost surely, 234345051000 is an apocalyptic number.

It is an amenable number.

34345051000 is an abundant number, since it is smaller than the sum of its proper divisors (52204510280).

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

34345051000 is a wasteful number, since it uses less digits than its factorization.

34345051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641961 (or 2641947 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 34345051000 in words is "thirty-four billion, three hundred forty-five million, fifty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 2641927 5283854 10567708 13209635 21135416 26419270 34345051 52838540 66048175 68690102 105677080 132096350 137380204 171725255 264192700 274760408 330240875 343450510 528385400 660481750 686901020 858626275 1320963500 1373802040 1717252550 2641927000 3434505100 4293131375 6869010200 8586262750 17172525500 34345051000