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343825830 = 233537127271
BaseRepresentation
bin10100011111100…
…101110110100110
3212221222011101000
4110133211312212
51201004411310
654041214130
711343320445
oct2437456646
9787864330
10343825830
11167098487
1297191346
1356303b4a
1433940d5c
15202b94c0
hex147e5da6

343825830 has 128 divisors (see below), whose sum is σ = 952565760. Its totient is φ = 88179840.

The previous prime is 343825817. The next prime is 343825837. The reversal of 343825830 is 38528343.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343825837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268595 + ... + 1268865.

It is an arithmetic number, because the mean of its divisors is an integer number (7441920).

Almost surely, 2343825830 is an apocalyptic number.

343825830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343825830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476282880).

343825830 is an abundant number, since it is smaller than the sum of its proper divisors (608739930).

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

343825830 is a wasteful number, since it uses less digits than its factorization.

343825830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 343825830 is about 18542.5410879955. The cubic root of 343825830 is about 700.5613388506.

The spelling of 343825830 in words is "three hundred forty-three million, eight hundred twenty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 127 135 185 222 254 270 271 333 370 381 542 555 635 666 762 813 999 1110 1143 1270 1355 1626 1665 1905 1998 2286 2439 2710 3330 3429 3810 4065 4699 4878 4995 5715 6858 7317 8130 9398 9990 10027 11430 12195 14097 14634 17145 20054 23495 24390 28194 30081 34290 34417 36585 42291 46990 50135 60162 68834 70485 73170 84582 90243 100270 103251 126873 140970 150405 172085 180486 206502 211455 253746 270729 300810 309753 344170 422910 451215 516255 541458 619506 634365 902430 929259 1032510 1268730 1273429 1353645 1548765 1858518 2546858 2707290 3097530 3820287 4646295 6367145 7640574 9292590 11460861 12734290 19101435 22921722 34382583 38202870 57304305 68765166 114608610 171912915 343825830