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3023774040 = 2335715592309
BaseRepresentation
bin1011010000111011…
…0010000101011000
321210201202122012010
42310032302011120
522143041232130
61220013545520
7134634440520
oct26416620530
97721678163
103023774040
111311929211
127047a52a0
133925b9711
14209834680
1512a6dd0b0
hexb43b2158

3023774040 has 128 divisors (see below), whose sum is σ = 10378368000. Its totient is φ = 690405888.

The previous prime is 3023773997. The next prime is 3023774063. The reversal of 3023774040 is 404773203.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3023773989 and 3023774007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308406 + ... + 1310714.

It is an arithmetic number, because the mean of its divisors is an integer number (81081000).

Almost surely, 23023774040 is an apocalyptic number.

3023774040 is a gapful number since it is divisible by the number (30) 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 3023774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189184000).

3023774040 is an abundant number, since it is smaller than the sum of its proper divisors (7354593960).

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

3023774040 is a wasteful number, since it uses less digits than its factorization.

3023774040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 3023774040 is about 54988.8537796525. The cubic root of 3023774040 is about 1446.0493393708.

The spelling of 3023774040 in words is "three billion, twenty-three million, seven hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1559 2309 3118 4618 4677 6236 6927 7795 9236 9354 10913 11545 12472 13854 15590 16163 18472 18708 21826 23090 23385 27708 31180 32326 32739 34635 37416 43652 46180 46770 48489 54565 55416 62360 64652 65478 69270 80815 87304 92360 93540 96978 109130 129304 130956 138540 161630 163695 187080 193956 218260 242445 261912 277080 323260 327390 387912 436520 484890 646520 654780 969780 1309560 1939560 3599731 7199462 10799193 14398924 17998655 21598386 25198117 28797848 35997310 43196772 50396234 53995965 71994620 75594351 86393544 100792468 107991930 125990585 143989240 151188702 201584936 215983860 251981170 302377404 377971755 431967720 503962340 604754808 755943510 1007924680 1511887020 3023774040