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340843444920 = 23325111919012383
BaseRepresentation
bin1001111010110111101…
…10100011101010111000
31012120202222002000011100
410331123312203222320
521041021410214140
6420325321531400
733424263323256
oct4753366435270
91176688060140
10340843444920
11121607269a60
1256083943b60
13261ab8658b4
14126d57475d6
158ced250530
hex4f5bda3ab8

340843444920 has 384 divisors, whose sum is σ = 1273250534400. Its totient is φ = 78205824000.

The previous prime is 340843444913. The next prime is 340843444927. The reversal of 340843444920 is 29444348043.

340843444920 is a `hidden beast` number, since 3 + 40 + 84 + 3 + 44 + 492 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (340843444913) and next prime (340843444927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340843444927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143030049 + ... + 143032431.

It is an arithmetic number, because the mean of its divisors is an integer number (3315756600).

Almost surely, 2340843444920 is an apocalyptic number.

340843444920 is a gapful number since it is divisible by the number (30) 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 340843444920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636625267200).

340843444920 is an abundant number, since it is smaller than the sum of its proper divisors (932407089480).

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

340843444920 is a wasteful number, since it uses less digits than its factorization.

340843444920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 340843444920 in words is "three hundred forty billion, eight hundred forty-three million, four hundred forty-four thousand, nine hundred twenty".