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343834606336 = 2813353292679
BaseRepresentation
bin1010000000011100010…
…00111011101100000000
31012212111102110202020111
411000032020323230000
521113133124400321
6421542212521104
733561353634424
oct5001610735400
91185442422214
10343834606336
11122901742891
1256779620194
13265674740b0
14128daaccb84
158e25b4a5e1
hex500e23bb00

343834606336 has 72 divisors (see below), whose sum is σ = 741216782880. Its totient is φ = 158242799616.

The previous prime is 343834606319. The next prime is 343834606337. The reversal of 343834606336 is 633606438343.

It is a self number, because there is not a number n which added to its sum of digits gives 343834606336.

It is not an unprimeable number, because it can be changed into a prime (343834606337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1028445 + ... + 1321123.

It is an arithmetic number, because the mean of its divisors is an integer number (10294677540).

Almost surely, 2343834606336 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 343834606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370608391440).

343834606336 is an abundant number, since it is smaller than the sum of its proper divisors (397382176544).

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

343834606336 is a wasteful number, since it uses less digits than its factorization.

343834606336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293061 (or 293047 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 49.

The spelling of 343834606336 in words is "three hundred forty-three billion, eight hundred thirty-four million, six hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 353 416 706 832 1412 1664 2824 3328 4589 5648 9178 11296 18356 22592 36712 45184 73424 90368 146848 292679 293696 585358 587392 1170716 1174784 2341432 3804827 4682864 7609654 9365728 15219308 18731456 30438616 37462912 60877232 74925824 103315687 121754464 206631374 243508928 413262748 487017856 826525496 974035712 1343103931 1653050992 2686207862 3306101984 5372415724 6612203968 10744831448 13224407936 21489662896 26448815872 42979325792 85958651584 171917303168 343834606336