Search a number
-
+
3040345458 = 2321957115569
BaseRepresentation
bin1011010100110111…
…1111110101110010
321211212221112220100
42311031333311302
522211312023313
61221405053230
7135225336633
oct26515776562
97755845810
103040345458
1113202175a7
1270a257216
13395b6c3a7
1420bb0988a
1512bdb3173
hexb537fd72

3040345458 has 48 divisors (see below), whose sum is σ = 6946711200. Its totient is φ = 958366080.

The previous prime is 3040345453. The next prime is 3040345489. The reversal of 3040345458 is 8545430403.

3040345458 is a `hidden beast` number, since 304 + 0 + 345 + 4 + 5 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3040345453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187498 + ... + 203066.

It is an arithmetic number, because the mean of its divisors is an integer number (144723150).

Almost surely, 23040345458 is an apocalyptic number.

3040345458 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040345458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473355600).

3040345458 is an abundant number, since it is smaller than the sum of its proper divisors (3906365742).

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

3040345458 is a wasteful number, since it uses less digits than its factorization.

3040345458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16167 (or 16164 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3040345458 is about 55139.3276890460. The cubic root of 3040345458 is about 1448.6861595560.

The spelling of 3040345458 in words is "three billion, forty million, three hundred forty-five thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 571 1142 1713 3426 5139 10278 10849 15569 21698 31138 32547 46707 65094 93414 97641 140121 195282 280242 295811 591622 887433 1774866 2662299 5324598 8889899 17779798 26669697 53339394 80009091 160018182 168908081 337816162 506724243 1013448486 1520172729 3040345458