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344634312 = 2331119127541
BaseRepresentation
bin10100100010101…
…011001111001000
3220000111020101210
4110202223033020
51201211244222
654110413120
711353225521
oct2442531710
9800436353
10344634312
1116759a950
12975011a0
1356527b39
1433ab1848
15203c8d0c
hex148ab3c8

344634312 has 128 divisors (see below), whose sum is σ = 999014400. Its totient is φ = 97977600.

The previous prime is 344634299. The next prime is 344634313. The reversal of 344634312 is 213436443.

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

It is a self number, because there is not a number n which added to its sum of digits gives 344634312.

It is not an unprimeable number, because it can be changed into a prime (344634313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636762 + ... + 637302.

It is an arithmetic number, because the mean of its divisors is an integer number (7804800).

Almost surely, 2344634312 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 344634312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499507200).

344634312 is an abundant number, since it is smaller than the sum of its proper divisors (654380088).

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

344634312 is a wasteful number, since it uses less digits than its factorization.

344634312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 703 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 344634312 is about 18564.3290210015. The cubic root of 344634312 is about 701.1100157475.

The spelling of 344634312 in words is "three hundred forty-four million, six hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 127 132 152 209 228 254 264 381 418 456 508 541 627 762 836 1016 1082 1254 1397 1524 1623 1672 2164 2413 2508 2794 3048 3246 4191 4328 4826 5016 5588 5951 6492 7239 8382 9652 10279 11176 11902 12984 14478 16764 17853 19304 20558 23804 26543 28956 30837 33528 35706 41116 47608 53086 57912 61674 68707 71412 79629 82232 106172 113069 123348 137414 142824 159258 206121 212344 226138 246696 274828 318516 339207 412242 452276 549656 637032 678414 755777 824484 904552 1305433 1356828 1511554 1648968 2267331 2610866 2713656 3023108 3916299 4534662 5221732 6046216 7832598 9069324 10443464 14359763 15665196 18138648 28719526 31330392 43079289 57439052 86158578 114878104 172317156 344634312