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2445036340 = 225314798233
BaseRepresentation
bin1001000110111100…
…0100101100110100
320022101202201022111
42101233010230310
520001412130330
61042341340404
7114406315555
oct22157045464
96271681274
102445036340
111045182a9a
12582a07704
132cc726986
14192a2432c
15e49c032a
hex91bc4b34

2445036340 has 48 divisors (see below), whose sum is σ = 5311918080. Its totient is φ = 944375040.

The previous prime is 2445036311. The next prime is 2445036379. The reversal of 2445036340 is 436305442.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292864 + ... + 301096.

It is an arithmetic number, because the mean of its divisors is an integer number (110664960).

Almost surely, 22445036340 is an apocalyptic number.

2445036340 is a gapful number since it is divisible by the number (20) 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 2445036340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655959040).

2445036340 is an abundant number, since it is smaller than the sum of its proper divisors (2866881740).

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

2445036340 is a wasteful number, since it uses less digits than its factorization.

2445036340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 2445036340 is about 49447.3087235291. The cubic root of 2445036340 is about 1347.1887250090.

The spelling of 2445036340 in words is "two billion, four hundred forty-five million, thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 479 620 958 1916 2395 4790 8233 9580 14849 16466 29698 32932 41165 59396 74245 82330 148490 164660 255223 296980 510446 1020892 1276115 2552230 3943607 5104460 7887214 15774428 19718035 39436070 78872140 122251817 244503634 489007268 611259085 1222518170 2445036340