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840993340 = 2251122916693
BaseRepresentation
bin110010001000001…
…000101000111100
32011121110212222111
4302020020220330
53210243241330
6215241223404
726561216425
oct6210105074
92147425874
10840993340
113a179a820
121b5791b64
131053068c5
147d99a64c
154dc7332a
hex32208a3c

840993340 has 48 divisors (see below), whose sum is σ = 1935168480. Its totient is φ = 304462080.

The previous prime is 840993337. The next prime is 840993401. The reversal of 840993340 is 43399048.

It is a junction number, because it is equal to n+sod(n) for n = 840993293 and 840993302.

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 15 ways as a sum of consecutive naturals, for example, 42034 + ... + 58726.

It is an arithmetic number, because the mean of its divisors is an integer number (40316010).

Almost surely, 2840993340 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 840993340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967584240).

840993340 is an abundant number, since it is smaller than the sum of its proper divisors (1094175140).

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

840993340 is a wasteful number, since it uses less digits than its factorization.

840993340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16942 (or 16940 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 840993340 is about 28999.8851721865. The cubic root of 840993340 is about 943.9105760715.

The spelling of 840993340 in words is "eight hundred forty million, nine hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 2290 2519 4580 5038 10076 12595 16693 25190 33386 50380 66772 83465 166930 183623 333860 367246 734492 918115 1836230 3672460 3822697 7645394 15290788 19113485 38226970 42049667 76453940 84099334 168198668 210248335 420496670 840993340