Search a number
-
+
340939653120 = 21437511173
BaseRepresentation
bin1001111011000011001…
…01100100000000000000
31012121000200002220000000
410331201211210000000
521041221022344440
6420343040000000
733426542143533
oct4754145440000
91177020086000
10340939653120
11121656600670
12560b0000000
13261c577c521
141270442ca1a
158d06906730
hex4f61964000

340939653120 has 960 divisors, whose sum is σ = 1346456321280. Its totient is φ = 82174279680.

The previous prime is 340939653097. The next prime is 340939653143. The reversal of 340939653120 is 21356939043.

340939653120 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 3 + 96 + 531 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (340939653097) and next prime (340939653143).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1970749354 + ... + 1970749526.

It is an arithmetic number, because the mean of its divisors is an integer number (1402558668).

Almost surely, 2340939653120 is an apocalyptic number.

340939653120 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 340939653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673228160640).

340939653120 is an abundant number, since it is smaller than the sum of its proper divisors (1005516668160).

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

340939653120 is an frugal number, since it uses more digits than its factorization.

340939653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 340939653120 in words is "three hundred forty billion, nine hundred thirty-nine million, six hundred fifty-three thousand, one hundred twenty".