Search a number
-
+
3040361520 = 2435715711527
BaseRepresentation
bin1011010100111000…
…0011110000110000
321211212222100221020
42311032003300300
522211313032040
61221405255440
7135225434520
oct26516036060
97755870836
103040361520
111320228679
1270a264580
13395b767b1
1420bb11680
1512bdb7cd0
hexb5383c30

3040361520 has 160 divisors (see below), whose sum is σ = 10841115648. Its totient is φ = 690453504.

The previous prime is 3040361491. The next prime is 3040361543. The reversal of 3040361520 is 251630403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 257997 + ... + 269523.

Almost surely, 23040361520 is an apocalyptic number.

3040361520 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 3040361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420557824).

3040361520 is an abundant number, since it is smaller than the sum of its proper divisors (7800754128).

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

3040361520 is a wasteful number, since it uses less digits than its factorization.

3040361520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11707 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3040361520 is about 55139.4733380724. The cubic root of 3040361520 is about 1448.6887106648.

Adding to 3040361520 its reverse (251630403), we get a palindrome (3291991923).

The spelling of 3040361520 in words is "three billion, forty million, three hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 157 168 210 240 280 314 336 420 471 560 628 785 840 942 1099 1256 1570 1680 1884 2198 2355 2512 3140 3297 3768 4396 4710 5495 6280 6594 7536 8792 9420 10990 11527 12560 13188 16485 17584 18840 21980 23054 26376 32970 34581 37680 43960 46108 52752 57635 65940 69162 80689 87920 92216 115270 131880 138324 161378 172905 184432 230540 242067 263760 276648 322756 345810 403445 461080 484134 553296 645512 691620 806890 922160 968268 1210335 1291024 1383240 1613780 1809739 1936536 2420670 2766480 3227560 3619478 3873072 4841340 5429217 6455120 7238956 9048695 9682680 10858434 12668173 14477912 18097390 19365360 21716868 25336346 27146085 28955824 36194780 38004519 43433736 50672692 54292170 63340865 72389560 76009038 86867472 101345384 108584340 126681730 144779120 152018076 190022595 202690768 217168680 253363460 304036152 380045190 434337360 506726920 608072304 760090380 1013453840 1520180760 3040361520