Search a number
-
+
83730312 = 233247109227
BaseRepresentation
bin1001111110110…
…01111110001000
312211112221101200
410333121332020
5132413332222
612150344200
72034460461
oct477317610
9184487350
1083730312
1143299906
122405b060
1314468283
14b197d68
15753deac
hex4fd9f88

83730312 has 96 divisors (see below), whose sum is σ = 234748800. Its totient is φ = 26946432.

The previous prime is 83730307. The next prime is 83730347. The reversal of 83730312 is 21303738.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368743 + ... + 368969.

It is an arithmetic number, because the mean of its divisors is an integer number (2445300).

Almost surely, 283730312 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 83730312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117374400).

83730312 is an abundant number, since it is smaller than the sum of its proper divisors (151018488).

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

83730312 is a wasteful number, since it uses less digits than its factorization.

83730312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 83730312 is about 9150.4268752884. The cubic root of 83730312 is about 437.4827195351.

The spelling of 83730312 in words is "eighty-three million, seven hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 109 141 188 218 227 282 327 376 423 436 454 564 654 681 846 872 908 981 1128 1308 1362 1692 1816 1962 2043 2616 2724 3384 3924 4086 5123 5448 7848 8172 10246 10669 15369 16344 20492 21338 24743 30738 32007 40984 42676 46107 49486 61476 64014 74229 85352 92214 96021 98972 122952 128028 148458 184428 192042 197944 222687 256056 296916 368856 384084 445374 593832 768168 890748 1162921 1781496 2325842 3488763 4651684 6977526 9303368 10466289 13955052 20932578 27910104 41865156 83730312