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340234223616 = 2143274312
BaseRepresentation
bin1001111001101111000…
…10100100000000000000
31012112012111201100122100
410330313202210000000
521033244430123431
6420145040110400
733403215120000
oct4746742440000
91175174640570
10340234223616
11121324392a81
1255b33905400
132611258ba11
1412678880000
158cb4a104e6
hex4f378a4000

340234223616 has 675 divisors, whose sum is σ = 1184792757603. Its totient is φ = 94073978880.

The previous prime is 340234223573. The next prime is 340234223621. The reversal of 340234223616 is 616322432043.

The square root of 340234223616 is 583296.

It is a perfect power (a square), and thus also a powerful number.

340234223616 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 34 + 2 + 2 + 3 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10975297521 + ... + 10975297551.

Almost surely, 2340234223616 is an apocalyptic number.

340234223616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

340234223616 is the 583296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340234223616

340234223616 is an abundant number, since it is smaller than the sum of its proper divisors (844558533987).

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

340234223616 is an frugal number, since it uses more digits than its factorization.

340234223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Multiplying 340234223616 by its sum of digits (36), we get a square (12248432050176 = 34997762).

340234223616 divided by its sum of digits (36) gives a square (9450950656 = 972162).

Adding to 340234223616 its reverse (616322432043), we get a palindrome (956556655659).

The spelling of 340234223616 in words is "three hundred forty billion, two hundred thirty-four million, two hundred twenty-three thousand, six hundred sixteen".