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344864380 = 225717473083
BaseRepresentation
bin10100100011100…
…011011001111100
3220000220220222211
4110203203121330
51201241130010
654115350204
711355204340
oct2443433174
9800826884
10344864380
11167737793
12975b2364
13565a8783
1433b31620
152042208a
hex148e367c

344864380 has 96 divisors (see below), whose sum is σ = 895297536. Its totient is φ = 108880896.

The previous prime is 344864357. The next prime is 344864393. The reversal of 344864380 is 83468443.

It is a happy number.

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, 110319 + ... + 113401.

It is an arithmetic number, because the mean of its divisors is an integer number (9326016).

Almost surely, 2344864380 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 344864380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447648768).

344864380 is an abundant number, since it is smaller than the sum of its proper divisors (550433156).

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

344864380 is a wasteful number, since it uses less digits than its factorization.

344864380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 344864380 is about 18570.5244944778. The cubic root of 344864380 is about 701.2659947017.

The spelling of 344864380 in words is "three hundred forty-four million, eight hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 47 68 70 85 94 119 140 170 188 235 238 329 340 470 476 595 658 799 940 1190 1316 1598 1645 2380 3083 3196 3290 3995 5593 6166 6580 7990 11186 12332 15415 15980 21581 22372 27965 30830 43162 52411 55930 61660 86324 104822 107905 111860 144901 209644 215810 262055 289802 366877 431620 524110 579604 724505 733754 1014307 1048220 1449010 1467508 1834385 2028614 2463317 2898020 3668770 4057228 4926634 5071535 7337540 9853268 10143070 12316585 17243219 20286140 24633170 34486438 49266340 68972876 86216095 172432190 344864380