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343436328 = 233329109503
BaseRepresentation
bin10100011110000…
…110110000101000
3212221020101002000
4110132012300220
51200404430303
654025011000
711340106044
oct2436066050
9787211060
10343436328
11166951884
1297023a60
13561c8781
143387d024
152023dda3
hex14786c28

343436328 has 128 divisors (see below), whose sum is σ = 997920000. Its totient is φ = 109299456.

The previous prime is 343436323. The next prime is 343436341. The reversal of 343436328 is 823634343.

It is a super-2 number, since 2×3434363282 = 235897022780247168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 343436292 and 343436301.

It is not an unprimeable number, because it can be changed into a prime (343436323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682525 + ... + 683027.

It is an arithmetic number, because the mean of its divisors is an integer number (7796250).

Almost surely, 2343436328 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 343436328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960000).

343436328 is an abundant number, since it is smaller than the sum of its proper divisors (654483672).

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

343436328 is a wasteful number, since it uses less digits than its factorization.

343436328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 343436328 is about 18532.0351823538. The cubic root of 343436328 is about 700.2966959959.

The spelling of 343436328 in words is "three hundred forty-three million, four hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 109 116 174 216 218 232 261 327 348 436 503 522 654 696 783 872 981 1006 1044 1308 1509 1566 1962 2012 2088 2616 2943 3018 3132 3161 3924 4024 4527 5886 6036 6264 6322 7848 9054 9483 11772 12072 12644 13581 14587 18108 18966 23544 25288 27162 28449 29174 36216 37932 43761 54324 54827 56898 58348 75864 85347 87522 108648 109654 113796 116696 131283 164481 170694 175044 219308 227592 262566 328962 341388 350088 393849 438616 493443 525132 657924 682776 787698 986886 1050264 1315848 1480329 1575396 1589983 1973772 2960658 3150792 3179966 3947544 4769949 5921316 6359932 9539898 11842632 12719864 14309847 19079796 28619694 38159592 42929541 57239388 85859082 114478776 171718164 343436328