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343145777744 = 2473115684233
BaseRepresentation
bin1001111111001010001…
…01010000101001010000
31012210201102022122001102
410333211011100221100
521110230304341434
6421350004523532
733535320662000
oct4774505205120
91183642278042
10343145777744
11122588933760
12566069b05a8
1326487846803
1412873422000
158dd543307e
hex4fe5150a50

343145777744 has 80 divisors (see below), whose sum is σ = 845814019200. Its totient is φ = 133693136640.

The previous prime is 343145777731. The next prime is 343145777749. The reversal of 343145777744 is 447777541343.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 343145777744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343145777749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781749 + ... + 2902484.

It is an arithmetic number, because the mean of its divisors is an integer number (10572675240).

Almost surely, 2343145777744 is an apocalyptic number.

It is an amenable number.

343145777744 is an abundant number, since it is smaller than the sum of its proper divisors (502668241456).

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

343145777744 is a wasteful number, since it uses less digits than its factorization.

343145777744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684273 (or 5684253 counting only the distinct ones).

The product of its digits is 27659520, while the sum is 56.

The spelling of 343145777744 in words is "three hundred forty-three billion, one hundred forty-five million, seven hundred seventy-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 343 392 539 616 686 784 1078 1232 1372 2156 2744 3773 4312 5488 7546 8624 15092 30184 60368 5684233 11368466 22736932 39789631 45473864 62526563 79579262 90947728 125053126 159158524 250106252 278527417 318317048 437685941 500212504 557054834 636634096 875371882 1000425008 1114109668 1750743764 1949691919 2228219336 3063801587 3501487528 3899383838 4456438672 6127603174 7002975056 7798767676 12255206348 15597535352 21446611109 24510412696 31195070704 42893222218 49020825392 85786444436 171572888872 343145777744