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340803052800 = 28352717149161
BaseRepresentation
bin1001111010110010111…
…00011110010100000000
31012120200011001212120220
410331121130132110000
521040431040142200
6420321320103040
733423263103060
oct4753134362400
91176604055526
10340803052800
11121596490841
1256072304a80
13261a3392732
14126d02313a0
158ce99224a0
hex4f5971e500

340803052800 has 432 divisors, whose sum is σ = 1361016139392. Its totient is φ = 73315123200.

The previous prime is 340803052789. The next prime is 340803052867. The reversal of 340803052800 is 8250308043.

It is a super-2 number, since 2×3408030528002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2210220 + ... + 2359380.

Almost surely, 2340803052800 is an apocalyptic number.

340803052800 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 340803052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680508069696).

340803052800 is an abundant number, since it is smaller than the sum of its proper divisors (1020213086592).

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

340803052800 is a wasteful number, since it uses less digits than its factorization.

340803052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149214 (or 149195 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 340803052800 in words is "three hundred forty billion, eight hundred three million, fifty-two thousand, eight hundred".