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344120630 = 257217109379
BaseRepresentation
bin10100100000101…
…101110100110110
3212222112010202112
4110200231310312
51201043330010
654051411022
711345656100
oct2440556466
9788463675
10344120630
11167279a17
12972b3a72
13563a8099
14339ba570
1520326a05
hex1482dd36

344120630 has 96 divisors (see below), whose sum is σ = 771962400. Its totient is φ = 109734912.

The previous prime is 344120629. The next prime is 344120657. The reversal of 344120630 is 36021443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 344120596 and 344120605.

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, 907781 + ... + 908159.

It is an arithmetic number, because the mean of its divisors is an integer number (8041275).

Almost surely, 2344120630 is an apocalyptic number.

344120630 is an abundant number, since it is smaller than the sum of its proper divisors (427841770).

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

344120630 is a wasteful number, since it uses less digits than its factorization.

344120630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 344120630 is about 18550.4886728086. The cubic root of 344120630 is about 700.7615046197.

The spelling of 344120630 in words is "three hundred forty-four million, one hundred twenty thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 109 119 170 218 238 245 379 490 545 595 758 763 833 1090 1190 1526 1666 1853 1895 2653 3706 3790 3815 4165 5306 5341 6443 7630 8330 9265 10682 12886 12971 13265 18530 18571 25942 26530 26705 32215 37142 41311 45101 53410 64430 64855 82622 90202 90797 92855 129710 181594 185710 206555 225505 289177 315707 413110 451010 453985 578354 631414 702287 907970 1404574 1445885 1578535 2024239 2891770 3157070 3511435 4048478 4916009 7022870 9832018 10121195 20242390 24580045 34412063 49160090 68824126 172060315 344120630