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340231674240 = 2734516094079
BaseRepresentation
bin1001111001101110110…
…00110101100110000000
31012112012022220211120000
410330313120311212000
521033243302033430
6420144505320000
733403154341263
oct4746730654600
91175168824500
10340231674240
11121322a01657
1255b32a96000
1326111ba8503
14126783b8cda
158cb46a9e60
hex4f37635980

340231674240 has 320 divisors, whose sum is σ = 1216081944000. Its totient is φ = 90649829376.

The previous prime is 340231674229. The next prime is 340231674241. The reversal of 340231674240 is 42476132043.

340231674240 is a `hidden beast` number, since 3 + 402 + 3 + 1 + 6 + 7 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 340231674195 and 340231674204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340231674241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83408521 + ... + 83412599.

It is an arithmetic number, because the mean of its divisors is an integer number (3800256075).

Almost surely, 2340231674240 is an apocalyptic number.

340231674240 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 340231674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608040972000).

340231674240 is an abundant number, since it is smaller than the sum of its proper divisors (875850269760).

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

340231674240 is a wasteful number, since it uses less digits than its factorization.

340231674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 340231674240 in words is "three hundred forty billion, two hundred thirty-one million, six hundred seventy-four thousand, two hundred forty".