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830703420 = 22325231631231
BaseRepresentation
bin110001100000111…
…000011100111100
32010220010002212100
4301200320130330
53200130002140
6214232505100
726404601601
oct6140703474
92126102770
10830703420
11396a01858
121b224b190
131031430b1
147c47c6a8
154cdde530
hex3183873c

830703420 has 144 divisors (see below), whose sum is σ = 2647636992. Its totient is φ = 210418560.

The previous prime is 830703409. The next prime is 830703499. The reversal of 830703420 is 24307038.

It is a zygodrome in base 2.

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, 674205 + ... + 675435.

It is an arithmetic number, because the mean of its divisors is an integer number (18386368).

Almost surely, 2830703420 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 830703420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323818496).

830703420 is an abundant number, since it is smaller than the sum of its proper divisors (1816933572).

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

830703420 is a wasteful number, since it uses less digits than its factorization.

830703420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 830703420 is about 28821.9260286331. The cubic root of 830703420 is about 940.0450483919.

The spelling of 830703420 in words is "eight hundred thirty million, seven hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 163 180 207 230 276 326 345 414 460 489 652 690 815 828 978 1035 1231 1380 1467 1630 1956 2070 2445 2462 2934 3260 3693 3749 4140 4890 4924 5868 6155 7335 7386 7498 9780 11079 11247 12310 14670 14772 14996 18465 18745 22158 22494 24620 28313 29340 33741 36930 37490 44316 44988 55395 56235 56626 67482 73860 74980 84939 110790 112470 113252 134964 141565 168705 169878 200653 221580 224940 254817 283130 337410 339756 401306 424695 509634 566260 601959 674820 802612 849390 1003265 1019268 1203918 1274085 1698780 1805877 2006530 2407836 2548170 3009795 3611754 4013060 4615019 5096340 6019590 7223508 9029385 9230038 12039180 13845057 18058770 18460076 23075095 27690114 36117540 41535171 46150190 55380228 69225285 83070342 92300380 138450570 166140684 207675855 276901140 415351710 830703420