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344075472 = 243313197311
BaseRepresentation
bin10100100000100…
…010110011010000
3212222102211211000
4110200202303100
51201040403342
654050422000
711345410326
oct2440426320
9788384730
10344075472
11167248aa4
1297291900
1356390670
14339a7d16
152031844c
hex14822cd0

344075472 has 160 divisors (see below), whose sum is σ = 1072431360. Its totient is φ = 104993280.

The previous prime is 344075449. The next prime is 344075507. The reversal of 344075472 is 274570443.

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

It is a congruent number.

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, 1106197 + ... + 1106507.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2344075472 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 344075472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

344075472 is an abundant number, since it is smaller than the sum of its proper divisors (728355888).

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

344075472 is a wasteful number, since it uses less digits than its factorization.

344075472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 344075472 is about 18549.2714681736. The cubic root of 344075472 is about 700.7308502797.

The spelling of 344075472 in words is "three hundred forty-four million, seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 197 208 216 234 311 312 351 394 432 468 591 622 624 702 788 933 936 1182 1244 1404 1576 1773 1866 1872 2364 2488 2561 2799 2808 3152 3546 3732 4043 4728 4976 5122 5319 5598 5616 7092 7464 7683 8086 8397 9456 10244 10638 11196 12129 14184 14928 15366 16172 16794 20488 21276 22392 23049 24258 28368 30732 32344 33588 36387 40976 42552 44784 46098 48516 61267 61464 64688 67176 69147 72774 85104 92196 97032 109161 122534 122928 134352 138294 145548 183801 184392 194064 218322 245068 276588 291096 367602 368784 436644 490136 551403 553176 582192 735204 796471 873288 980272 1102806 1106352 1470408 1592942 1654209 1746576 2205612 2389413 2940816 3185884 3308418 4411224 4778826 6371768 6616836 7168239 8822448 9557652 12743536 13233672 14336478 19115304 21504717 26467344 28672956 38230608 43009434 57345912 86018868 114691824 172037736 344075472