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343399928747904 = 27347192931439631
BaseRepresentation
bin100111000010100100000011…
…0110001001101011110000000
31200000212201020110122021010000
41032011020012301031132000
5330002231023224413104
63214203425513040000
7132221553234211650
oct11605100661153600
91600781213567100
10343399928747904
119a4661013a6936
12326212593b6000
131197c6221510b2
1460b2906740360
1529a79482e1639
hex1385206c4d780

343399928747904 has 2560 divisors, whose sum is σ = 1317912330240000. Its totient is φ = 86515004620800.

The previous prime is 343399928747891. The next prime is 343399928747921. The reversal of 343399928747904 is 409747829993343.

It is a happy number.

343399928747904 is a `hidden beast` number, since 3 + 4 + 3 + 39 + 99 + 28 + 7 + 479 + 0 + 4 = 666.

It is a super-2 number, since 2×3433999287479042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 544215417669 + ... + 544215418299.

It is an arithmetic number, because the mean of its divisors is an integer number (514809504000).

Almost surely, 2343399928747904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343399928747904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658956165120000).

343399928747904 is an abundant number, since it is smaller than the sum of its proper divisors (974512401492096).

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

343399928747904 is a wasteful number, since it uses less digits than its factorization.

343399928747904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 8888527872, while the sum is 81.

The spelling of 343399928747904 in words is "three hundred forty-three trillion, three hundred ninety-nine billion, nine hundred twenty-eight million, seven hundred forty-seven thousand, nine hundred four".