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343145777748 = 2231910114901241
BaseRepresentation
bin1001111111001010001…
…01010000101001010100
31012210201102022122001120
410333211011100221110
521110230304341443
6421350004523540
733535320662004
oct4774505205124
91183642278046
10343145777748
11122588933764
12566069b05b0
1326487846807
1412873422004
158dd5433083
hex4fe5150a54

343145777748 has 48 divisors (see below), whose sum is σ = 851158943040. Its totient is φ = 107288928000.

The previous prime is 343145777731. The next prime is 343145777749. The reversal of 343145777748 is 847777541343.

It is a junction number, because it is equal to n+sod(n) for n = 343145777691 and 343145777700.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7427593 + ... + 7473648.

It is an arithmetic number, because the mean of its divisors is an integer number (17732477980).

Almost surely, 2343145777748 is an apocalyptic number.

343145777748 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

343145777748 is an abundant number, since it is smaller than the sum of its proper divisors (508013165292).

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

343145777748 is a wasteful number, since it uses less digits than its factorization.

343145777748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901368 (or 14901366 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 60.

The spelling of 343145777748 in words is "three hundred forty-three billion, one hundred forty-five million, seven hundred seventy-seven thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 1212 1919 3838 5757 7676 11514 23028 14901241 29802482 44703723 59604964 89407446 178814892 283123579 566247158 849370737 1132494316 1505025341 1698741474 3010050682 3397482948 4515076023 6020101364 9030152046 18060304092 28595481479 57190962958 85786444437 114381925916 171572888874 343145777748