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830339640 = 233351359141
BaseRepresentation
bin110001011111011…
…111101000111000
32010212102121212000
4301133133220320
53200031332030
6214221021000
726401525164
oct6137375070
92125377760
10830339640
11396783509
121b20b4760
13103046640
147c3c5ca4
154cd6b860
hex317dfa38

830339640 has 128 divisors (see below), whose sum is σ = 2980756800. Its totient is φ = 204387840.

The previous prime is 830339621. The next prime is 830339641. The reversal of 830339640 is 46933038.

830339640 is a `hidden beast` number, since 8 + 3 + 0 + 3 + 3 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 830339595 and 830339604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830339641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15531 + ... + 43610.

Almost surely, 2830339640 is an apocalyptic number.

It is an amenable number.

830339640 is an abundant number, since it is smaller than the sum of its proper divisors (2150417160).

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

830339640 is a wasteful number, since it uses less digits than its factorization.

830339640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59174 (or 59164 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 830339640 is about 28815.6145171329. The cubic root of 830339640 is about 939.9078074665.

The spelling of 830339640 in words is "eight hundred thirty million, three hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 59141 118282 177423 236564 295705 354846 473128 532269 591410 709692 768833 887115 1064538 1182820 1419384 1537666 1596807 1774230 2129076 2306499 2365640 2661345 3075332 3193614 3548460 3844165 4258152 4612998 5322690 6150664 6387228 6919497 7096920 7688330 7984035 9225996 10645380 11532495 12774456 13838994 15376660 15968070 18451992 20758491 21290760 23064990 27677988 30753320 31936140 34597485 41516982 46129980 55355976 63872280 69194970 83033964 92259960 103792455 138389940 166067928 207584910 276779880 415169820 830339640