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342794816 = 2671371829
BaseRepresentation
bin10100011011101…
…010001001000000
3212220000210002022
4110123222021000
51200223413231
654003141012
711331464540
oct2433521100
9786023068
10342794816
11166553901
1296974768
1356032790
1433753320
1520163c7b
hex146ea240

342794816 has 112 divisors (see below), whose sum is σ = 850026240. Its totient is φ = 133539840.

The previous prime is 342794801. The next prime is 342794873. The reversal of 342794816 is 618497243.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413090 + ... + 413918.

It is an arithmetic number, because the mean of its divisors is an integer number (7589520).

Almost surely, 2342794816 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 342794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425013120).

342794816 is an abundant number, since it is smaller than the sum of its proper divisors (507231424).

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

342794816 is a wasteful number, since it uses less digits than its factorization.

342794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 922 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 342794816 is about 18514.7189014578. The cubic root of 342794816 is about 699.8603912057.

The spelling of 342794816 in words is "three hundred forty-two million, seven hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 91 104 112 142 182 208 224 284 364 416 448 497 568 728 829 832 923 994 1136 1456 1658 1846 1988 2272 2912 3316 3692 3976 4544 5803 5824 6461 6632 7384 7952 10777 11606 12922 13264 14768 15904 21554 23212 25844 26528 29536 31808 43108 46424 51688 53056 58859 59072 75439 86216 92848 103376 117718 150878 172432 185696 206752 235436 301756 344864 371392 412013 413504 470872 603512 689728 765167 824026 941744 1207024 1530334 1648052 1883488 2414048 3060668 3296104 3766976 4828096 5356169 6121336 6592208 10712338 12242672 13184416 21424676 24485344 26368832 42849352 48970688 85698704 171397408 342794816