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3030692832 = 253297157691
BaseRepresentation
bin1011010010100100…
…1011001111100000
321211012210010222200
42310221023033200
522201324132312
61220422133200
7135050315106
oct26451131740
97735703880
103030692832
111315824422
12706b81200
13393b6c98b
1420a715c76
1512b1080dc
hexb4a4b3e0

3030692832 has 144 divisors (see below), whose sum is σ = 8775526032. Its totient is φ = 992010240.

The previous prime is 3030692813. The next prime is 3030692843. The reversal of 3030692832 is 2382960303.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4385607 + ... + 4386297.

It is an arithmetic number, because the mean of its divisors is an integer number (60941153).

Almost surely, 23030692832 is an apocalyptic number.

3030692832 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 3030692832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387763016).

3030692832 is an abundant number, since it is smaller than the sum of its proper divisors (5744833200).

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

3030692832 is a wasteful number, since it uses less digits than its factorization.

3030692832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3030692832 is about 55051.7286922037. The cubic root of 3030692832 is about 1447.1514161465.

The spelling of 3030692832 in words is "three billion, thirty million, six hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 157 194 288 291 314 388 471 582 628 691 776 873 942 1164 1256 1382 1413 1552 1746 1884 2073 2328 2512 2764 2826 3104 3492 3768 4146 4656 5024 5528 5652 6219 6984 7536 8292 9312 11056 11304 12438 13968 15072 15229 16584 22112 22608 24876 27936 30458 33168 45216 45687 49752 60916 66336 67027 91374 99504 108487 121832 134054 137061 182748 199008 201081 216974 243664 268108 274122 325461 365496 402162 433948 487328 536216 548244 603243 650922 730992 804324 867896 976383 1072432 1096488 1206486 1301844 1461984 1608648 1735792 1952766 2144864 2192976 2412972 2603688 3217296 3471584 3905532 4385952 4825944 5207376 6434592 7811064 9651888 10414752 10523239 15622128 19303776 21046478 31244256 31569717 42092956 63139434 84185912 94709151 126278868 168371824 189418302 252557736 336743648 378836604 505115472 757673208 1010230944 1515346416 3030692832