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344077740 = 223354115541
BaseRepresentation
bin10100100000100…
…011010110101100
3212222102221221000
4110200203112230
51201040441430
654050440300
711345420046
oct2440432654
9788387830
10344077740
1116724a776
1297293090
13563916c6
14339a8a96
1520318e60
hex148235ac

344077740 has 96 divisors (see below), whose sum is σ = 1096643520. Its totient is φ = 89510400.

The previous prime is 344077733. The next prime is 344077777. The reversal of 344077740 is 47770443.

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

It is a junction number, because it is equal to n+sod(n) for n = 344077695 and 344077704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14370 + ... + 29910.

It is an arithmetic number, because the mean of its divisors is an integer number (11423370).

Almost surely, 2344077740 is an apocalyptic number.

344077740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344077740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548321760).

344077740 is an abundant number, since it is smaller than the sum of its proper divisors (752565780).

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

344077740 is a wasteful number, since it uses less digits than its factorization.

344077740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15600 (or 15592 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 344077740 is about 18549.3326025493. The cubic root of 344077740 is about 700.7323899168.

The spelling of 344077740 in words is "three hundred forty-four million, seventy-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 15541 22140 31082 46623 62164 77705 93246 139869 155410 186492 233115 279738 310820 419607 466230 559476 637181 699345 839214 932460 1274362 1398690 1678428 1911543 2098035 2548724 2797380 3185905 3823086 4196070 5734629 6371810 7646172 8392140 9557715 11469258 12743620 17203887 19115430 22938516 28673145 34407774 38230860 57346290 68815548 86019435 114692580 172038870 344077740