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830230716 = 2237231371231
BaseRepresentation
bin110001011111000…
…101000010111100
32010212020002102210
4301133011002330
53200014340331
6214214420420
726400562500
oct6137050274
92125202383
10830230716
11396709697
121b2061710
13103008ba3
147c398300
154cd49446
hex317c50bc

830230716 has 144 divisors (see below), whose sum is σ = 2390986752. Its totient is φ = 223171200.

The previous prime is 830230691. The next prime is 830230727. The reversal of 830230716 is 617032038.

830230716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×8302307164 (a number of 37 digits) contains 4444 as substring.

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, 673821 + ... + 675051.

Almost surely, 2830230716 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 830230716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195493376).

830230716 is an abundant number, since it is smaller than the sum of its proper divisors (1560756036).

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

830230716 is a wasteful number, since it uses less digits than its factorization.

830230716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 830230716 is about 28813.7244381909. The cubic root of 830230716 is about 939.8667066165.

The spelling of 830230716 in words is "eight hundred thirty million, two hundred thirty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 37 42 49 62 74 84 93 98 111 124 147 148 186 196 217 222 259 294 372 434 444 518 588 651 777 868 1036 1147 1231 1302 1519 1554 1813 2294 2462 2604 3038 3108 3441 3626 3693 4557 4588 4924 5439 6076 6882 7252 7386 8029 8617 9114 10878 13764 14772 16058 17234 18228 21756 24087 25851 32116 34468 38161 45547 48174 51702 56203 60319 76322 91094 96348 103404 112406 114483 120638 136641 152644 168609 180957 182188 224812 228966 241276 267127 273282 318829 337218 361914 457932 534254 546564 637658 674436 723828 801381 956487 1068508 1275316 1411957 1602762 1869889 1912974 2231803 2823914 3205524 3739778 3825948 4235871 4463606 5609667 5647828 6695409 7479556 8471742 8927212 9883699 11219334 13390818 16943484 19767398 22438668 26781636 29651097 39534796 59302194 69185893 118604388 138371786 207557679 276743572 415115358 830230716