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834289240 = 235199711317
BaseRepresentation
bin110001101110100…
…011111001011000
32011010212021200111
4301232203321120
53202034223430
6214441414104
726450225101
oct6156437130
92133767614
10834289240
11398a30944
121b349a334
13103aca295
147cb333a8
154d39bc2a
hex31ba3e58

834289240 has 64 divisors (see below), whose sum is σ = 1996495200. Its totient is φ = 312864768.

The previous prime is 834289237. The next prime is 834289249. The reversal of 834289240 is 42982438.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 834289193 and 834289202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834289249) 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, 68062 + ... + 79378.

Almost surely, 2834289240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834289240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998247600).

834289240 is an abundant number, since it is smaller than the sum of its proper divisors (1162205960).

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

834289240 is a wasteful number, since it uses less digits than its factorization.

834289240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 11440 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 834289240 is about 28884.0655033186. The cubic root of 834289240 is about 941.3957084335.

The spelling of 834289240 in words is "eight hundred thirty-four million, two hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 380 388 485 760 776 970 1843 1940 3686 3880 7372 9215 11317 14744 18430 22634 36860 45268 56585 73720 90536 113170 215023 226340 430046 452680 860092 1075115 1097749 1720184 2150230 2195498 4300460 4390996 5488745 8600920 8781992 10977490 20857231 21954980 41714462 43909960 83428924 104286155 166857848 208572310 417144620 834289240