Search a number
-
+
835323840 = 26345133767
BaseRepresentation
bin110001110010100…
…000011111000000
32011012210211220000
4301302200133000
53202320330330
6214515520000
726462064321
oct6162403700
92135724800
10835323840
1139957818a
121b38b9000
131040a0180
147cd22448
154d503560
hex31ca07c0

835323840 has 560 divisors, whose sum is σ = 3335499552. Its totient is φ = 197074944.

The previous prime is 835323823. The next prime is 835323851. The reversal of 835323840 is 48323538.

835323840 is a `hidden beast` number, since 83 + 532 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 835323795 and 835323804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12467487 + ... + 12467553.

Almost surely, 2835323840 is an apocalyptic number.

835323840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667749776).

835323840 is an abundant number, since it is smaller than the sum of its proper divisors (2500175712).

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

835323840 is a wasteful number, since it uses less digits than its factorization.

835323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 835323840 is about 28901.9694830646. The cubic root of 835323840 is about 941.7846885079.

The spelling of 835323840 in words is "eight hundred thirty-five million, three hundred twenty-three thousand, eight hundred forty".