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340262746112640 = 2735132371149179313
BaseRepresentation
bin100110101011101111001100…
…0000111001100001010000000
31122121202210121211001001202210
41031113132120013030022000
5324044331101001101030
63203402314141342120
7131446113022615611
oct11527363007141200
91577683554031683
10340262746112640
119946669060492a
12321b5249267940
13117b2840659240
146004b3a47dc08
152951035395bb0
hex13577981cc280

340262746112640 has 2048 divisors, whose sum is σ = 1255210629120000. Its totient is φ = 77769308897280.

The previous prime is 340262746112603. The next prime is 340262746112677. The reversal of 340262746112640 is 46211647262043.

It is an interprime number because it is at equal distance from previous prime (340262746112603) and next prime (340262746112677).

It is a super-2 number, since 2×3402627461126402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 340262746112640.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1087101425124 + ... + 1087101425436.

It is an arithmetic number, because the mean of its divisors is an integer number (612895815000).

Almost surely, 2340262746112640 is an apocalyptic number.

340262746112640 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 340262746112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627605314560000).

340262746112640 is an abundant number, since it is smaller than the sum of its proper divisors (914947883007360).

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

340262746112640 is a wasteful number, since it uses less digits than its factorization.

340262746112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 340262746112640 in words is "three hundred forty trillion, two hundred sixty-two billion, seven hundred forty-six million, one hundred twelve thousand, six hundred forty".