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834268350 = 235213740597
BaseRepresentation
bin110001101110011…
…110110010111110
32011010211020000210
4301232132302332
53202033041400
6214441133250
726450110146
oct6156366276
92133736023
10834268350
11398a17183
121b348a226
13103ac0916
147cb29926
154d395950
hex31b9ecbe

834268350 has 48 divisors (see below), whose sum is σ = 2084138928. Its totient is φ = 220842240.

The previous prime is 834268333. The next prime is 834268363. The reversal of 834268350 is 53862438.

It is a junction number, because it is equal to n+sod(n) for n = 834268299 and 834268308.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 252 + ... + 40848.

It is an arithmetic number, because the mean of its divisors is an integer number (43419561).

Almost surely, 2834268350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834268350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042069464).

834268350 is an abundant number, since it is smaller than the sum of its proper divisors (1249870578).

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

834268350 is a wasteful number, since it uses less digits than its factorization.

834268350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40749 (or 40744 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 834268350 is about 28883.7038829856. The cubic root of 834268350 is about 941.3878510783.

The spelling of 834268350 in words is "eight hundred thirty-four million, two hundred sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 137 150 274 411 685 822 1370 2055 3425 4110 6850 10275 20550 40597 81194 121791 202985 243582 405970 608955 1014925 1217910 2029850 3044775 5561789 6089550 11123578 16685367 27808945 33370734 55617890 83426835 139044725 166853670 278089450 417134175 834268350