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344713380 = 2235114091277
BaseRepresentation
bin10100100010111…
…110100010100100
3220000122020212020
4110202332202210
51201221312010
654112223140
711354005164
oct2442764244
9800566766
10344713380
111676442a0
129753aab0
1356554b1b
1433ad25a4
15203e2470
hex148be8a4

344713380 has 96 divisors (see below), whose sum is σ = 1056343680. Its totient is φ = 83297280.

The previous prime is 344713357. The next prime is 344713381. The reversal of 344713380 is 83317443.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (344713381) 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, 269302 + ... + 270578.

It is an arithmetic number, because the mean of its divisors is an integer number (11003580).

Almost surely, 2344713380 is an apocalyptic number.

344713380 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 344713380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528171840).

344713380 is an abundant number, since it is smaller than the sum of its proper divisors (711630300).

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

344713380 is a wasteful number, since it uses less digits than its factorization.

344713380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 344713380 is about 18566.4584668159. The cubic root of 344713380 is about 701.1636292212.

The spelling of 344713380 in words is "three hundred forty-four million, seven hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 409 660 818 1227 1277 1636 2045 2454 2554 3831 4090 4499 4908 5108 6135 6385 7662 8180 8998 12270 12770 13497 14047 15324 17996 19155 22495 24540 25540 26994 28094 38310 42141 44990 53988 56188 67485 70235 76620 84282 89980 134970 140470 168564 210705 269940 280940 421410 522293 842820 1044586 1566879 2089172 2611465 3133758 5222930 5745223 6267516 7834395 10445860 11490446 15668790 17235669 22980892 28726115 31337580 34471338 57452230 68942676 86178345 114904460 172356690 344713380