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343116816 = 243721131291
BaseRepresentation
bin10100011100111…
…000110000010000
3212220122010210020
4110130320300100
51200314214231
654014103440
711334305400
oct2434706020
9786563706
10343116816
11166753819
1296aaab80
1356116203
14337d8800
15201c9396
hex14738c10

343116816 has 120 divisors (see below), whose sum is σ = 1041031584. Its totient is φ = 97090560.

The previous prime is 343116791. The next prime is 343116821. The reversal of 343116816 is 618611343.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 265131 + ... + 266421.

Almost surely, 2343116816 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 343116816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520515792).

343116816 is an abundant number, since it is smaller than the sum of its proper divisors (697914768).

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

343116816 is a wasteful number, since it uses less digits than its factorization.

343116816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1416 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 343116816 is about 18523.4126445426. The cubic root of 343116816 is about 700.0794576470.

The spelling of 343116816 in words is "three hundred forty-three million, one hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 113 147 168 196 226 294 336 339 392 452 588 678 784 791 904 1176 1291 1356 1582 1808 2352 2373 2582 2712 3164 3873 4746 5164 5424 5537 6328 7746 9037 9492 10328 11074 12656 15492 16611 18074 18984 20656 22148 27111 30984 33222 36148 37968 44296 54222 61968 63259 66444 72296 88592 108444 126518 132888 144592 145883 189777 216888 253036 265776 291766 379554 433776 437649 506072 583532 759108 875298 1012144 1021181 1167064 1518216 1750596 2042362 2334128 3036432 3063543 3501192 4084724 6127086 7002384 7148267 8169448 12254172 14296534 16338896 21444801 24508344 28593068 42889602 49016688 57186136 85779204 114372272 171558408 343116816