Search a number
-
+
3040134400 = 28524311047
BaseRepresentation
bin1011010100110100…
…1100010100000000
321211212112211101101
42311031030110000
522211233300100
61221400344144
7135223500412
oct26515142400
97755484341
103040134400
111320092a76
1270a175054
13395ac72c4
1420ba929b2
1512bd7086a
hexb534c500

3040134400 has 108 divisors (see below), whose sum is σ = 7700500192. Its totient is φ = 1187665920.

The previous prime is 3040134373. The next prime is 3040134473. The reversal of 3040134400 is 44310403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269677 + ... + 280723.

Almost surely, 23040134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850250096).

3040134400 is an abundant number, since it is smaller than the sum of its proper divisors (4660365792).

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

3040134400 is a wasteful number, since it uses less digits than its factorization.

3040134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3040134400 is about 55137.4137949904. The cubic root of 3040134400 is about 1448.6526366243.

Adding to 3040134400 its reverse (44310403), we get a palindrome (3084444803).

The spelling of 3040134400 in words is "three billion, forty million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 128 160 172 200 215 256 320 344 400 430 640 688 800 860 1075 1280 1376 1600 1720 2150 2752 3200 3440 4300 5504 6400 6880 8600 11008 11047 13760 17200 22094 27520 34400 44188 55040 55235 68800 88376 110470 137600 176752 220940 275200 276175 353504 441880 475021 552350 707008 883760 950042 1104700 1414016 1767520 1900084 2209400 2375105 2828032 3535040 3800168 4418800 4750210 7070080 7600336 8837600 9500420 11875525 14140160 15200672 17675200 19000840 23751050 30401344 35350400 38001680 47502100 60802688 70700800 76003360 95004200 121605376 152006720 190008400 304013440 380016800 608026880 760033600 1520067200 3040134400