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34500750 = 2353157293
BaseRepresentation
bin1000001110011…
…1000010001110
32101220211010120
42003213002032
532313011000
63231245410
7566152164
oct203470216
971824116
1034500750
1118524a19
12b679866
1371bc75b
144821234
1530676a0
hex20e708e

34500750 has 64 divisors (see below), whose sum is σ = 86958144. Its totient is φ = 9110400.

The previous prime is 34500689. The next prime is 34500787. The reversal of 34500750 is 5700543.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34500750.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117604 + ... + 117896.

It is an arithmetic number, because the mean of its divisors is an integer number (1358721).

Almost surely, 234500750 is an apocalyptic number.

34500750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34500750 is the 3140-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34500750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43479072).

34500750 is an abundant number, since it is smaller than the sum of its proper divisors (52457394).

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

34500750 is a wasteful number, since it uses less digits than its factorization.

34500750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 34500750 is about 5873.7339061282. The cubic root of 34500750 is about 325.5438625556.

The spelling of 34500750 in words is "thirty-four million, five hundred thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 157 250 293 314 375 471 586 750 785 879 942 1465 1570 1758 2355 2930 3925 4395 4710 7325 7850 8790 11775 14650 19625 21975 23550 36625 39250 43950 46001 58875 73250 92002 109875 117750 138003 219750 230005 276006 460010 690015 1150025 1380030 2300050 3450075 5750125 6900150 11500250 17250375 34500750