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2830740352 = 27113767811
BaseRepresentation
bin1010100010111001…
…1010101110000000
321022021112111202021
42220232122232000
521244132142402
61144520331224
7130101616216
oct25056325600
97267474667
102830740352
111222974140
12670013b14
133616011bb
141cbd46cb6
151187acd37
hexa8b9ab80

2830740352 has 128 divisors (see below), whose sum is σ = 6420516480. Its totient is φ = 1231718400.

The previous prime is 2830740343. The next prime is 2830740359. The reversal of 2830740352 is 2530470382.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830740359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3490027 + ... + 3490837.

It is an arithmetic number, because the mean of its divisors is an integer number (50160285).

Almost surely, 22830740352 is an apocalyptic number.

2830740352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210258240).

2830740352 is an abundant number, since it is smaller than the sum of its proper divisors (3589776128).

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

2830740352 is a wasteful number, since it uses less digits than its factorization.

2830740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2830740352 is about 53204.7023485707. The cubic root of 2830740352 is about 1414.5989951925.

The spelling of 2830740352 in words is "two billion, eight hundred thirty million, seven hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 67 74 88 128 134 148 176 268 296 352 407 536 592 704 737 811 814 1072 1184 1408 1474 1622 1628 2144 2368 2479 2948 3244 3256 4288 4736 4958 5896 6488 6512 8576 8921 9916 11792 12976 13024 17842 19832 23584 25952 26048 27269 30007 35684 39664 47168 51904 52096 54337 54538 60014 71368 79328 94336 103808 108674 109076 120028 142736 158656 217348 218152 240056 285472 317312 330077 434696 436304 480112 570944 597707 660154 869392 872608 960224 1141888 1195414 1320308 1738784 1745216 1920448 2010469 2390828 2640616 3477568 3490432 3840896 4020938 4781656 5281232 6955136 8041876 9563312 10562464 16083752 19126624 21124928 22115159 32167504 38253248 42249856 44230318 64335008 76506496 88460636 128670016 176921272 257340032 353842544 707685088 1415370176 2830740352