Search a number
-
+
3029978112 = 21037220129
BaseRepresentation
bin1011010010011001…
…1100110000000000
321211011102211120120
42310212130300000
522201133244422
61220354540240
7135041250300
oct26446346000
97734384516
103029978112
111315386447
12706897680
1339397c575
1420a5ab600
1512b01645c
hexb499cc00

3029978112 has 132 divisors (see below), whose sum is σ = 9394993080. Its totient is φ = 865665024.

The previous prime is 3029978053. The next prime is 3029978113. The reversal of 3029978112 is 2118799203.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3029978113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140464 + ... + 160592.

It is an arithmetic number, because the mean of its divisors is an integer number (71174190).

Almost surely, 23029978112 is an apocalyptic number.

3029978112 is a gapful number since it is divisible by the number (32) 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 3029978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697496540).

3029978112 is an abundant number, since it is smaller than the sum of its proper divisors (6365014968).

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

3029978112 is a wasteful number, since it uses less digits than its factorization.

3029978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20166 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 3029978112 is about 55045.2369601585. The cubic root of 3029978112 is about 1447.0376479496.

The spelling of 3029978112 in words is "three billion, twenty-nine million, nine hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 9408 10752 12544 18816 20129 21504 25088 37632 40258 50176 60387 75264 80516 120774 140903 150528 161032 241548 281806 322064 422709 483096 563612 644128 845418 966192 986321 1127224 1288256 1690836 1932384 1972642 2254448 2576512 2958963 3381672 3864768 3945284 4508896 5153024 5917926 6763344 7729536 7890568 9017792 10306048 11835852 13526688 15459072 15781136 18035584 20612096 23671704 27053376 30918144 31562272 36071168 47343408 54106752 61836288 63124544 72142336 94686816 108213504 126249088 144284672 189373632 216427008 252498176 378747264 432854016 504996352 757494528 1009992704 1514989056 3029978112