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344382780 = 223572412857
BaseRepresentation
bin10100100001101…
…101110100111100
3220000000110100210
4110201231310330
51201130222110
654101152420
711351130300
oct2441556474
9800013323
10344382780
11167438975
12973bb710
135646a4c1
1433a47d00
1520379520
hex1486dd3c

344382780 has 144 divisors (see below), whose sum is σ = 1149464736. Its totient is φ = 76769280.

The previous prime is 344382761. The next prime is 344382803. The reversal of 344382780 is 87283443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119112 + ... + 121968.

It is an arithmetic number, because the mean of its divisors is an integer number (7982394).

Almost surely, 2344382780 is an apocalyptic number.

344382780 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 344382780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574732368).

344382780 is an abundant number, since it is smaller than the sum of its proper divisors (805081956).

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

344382780 is a wasteful number, since it uses less digits than its factorization.

344382780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 344382780 is about 18557.5531792314. The cubic root of 344382780 is about 700.9394054134.

The spelling of 344382780 in words is "three hundred forty-four million, three hundred eighty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 49 60 70 82 84 98 105 123 140 147 164 196 205 210 245 246 287 294 410 420 490 492 574 588 615 735 820 861 980 1148 1230 1435 1470 1722 2009 2460 2857 2870 2940 3444 4018 4305 5714 5740 6027 8036 8571 8610 10045 11428 12054 14285 17142 17220 19999 20090 24108 28570 30135 34284 39998 40180 42855 57140 59997 60270 79996 85710 99995 117137 119994 120540 139993 171420 199990 234274 239988 279986 299985 351411 399980 419979 468548 559972 585685 599970 699965 702822 819959 839958 1171370 1199940 1399930 1405644 1639918 1679916 1757055 2099895 2342740 2459877 2799860 3279836 3514110 4099795 4199790 4919754 5739713 7028220 8199590 8399580 9839508 11479426 12299385 16399180 17219139 22958852 24598770 28698565 34438278 49197540 57397130 68876556 86095695 114794260 172191390 344382780