Search a number
-
+
830742396 = 22311191392383
BaseRepresentation
bin110001100001000…
…001111101111100
32010220012002022220
4301201001331330
53200132224041
6214233405340
726405123331
oct6141017574
92126162286
10830742396
11396a29070
121b2269850
13103157a63
147c48c988
154cdead66
hex31841f7c

830742396 has 96 divisors (see below), whose sum is σ = 2242867200. Its totient is φ = 236675520.

The previous prime is 830742391. The next prime is 830742427. The reversal of 830742396 is 693247038.

830742396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830742391) 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, 347421 + ... + 349803.

It is an arithmetic number, because the mean of its divisors is an integer number (23363200).

Almost surely, 2830742396 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 830742396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121433600).

830742396 is an abundant number, since it is smaller than the sum of its proper divisors (1412124804).

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

830742396 is a wasteful number, since it uses less digits than its factorization.

830742396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 830742396 is about 28822.6021726006. The cubic root of 830742396 is about 940.0597502385.

It can be divided in two parts, 830742 and 396, that added together give a palindrome (831138).

The spelling of 830742396 in words is "eight hundred thirty million, seven hundred forty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 139 209 228 278 417 418 556 627 834 836 1254 1529 1668 2383 2508 2641 3058 4587 4766 5282 6116 7149 7923 9174 9532 10564 14298 15846 18348 26213 28596 29051 31692 45277 52426 58102 78639 87153 90554 104852 116204 135831 157278 174306 181108 271662 314556 331237 348612 498047 543324 662474 993711 996094 1324948 1494141 1987422 1992188 2988282 3643607 3974844 5976564 6293503 7287214 10930821 12587006 14574428 18880509 21861642 25174012 37761018 43723284 69228533 75522036 138457066 207685599 276914132 415371198 830742396