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3028588740 = 2232516825493
BaseRepresentation
bin1011010010000100…
…1001100011000100
321211001211020201100
42310201021203010
522200304314430
61220305100100
7135023402532
oct26441114304
97731736640
103028588740
111314617601
12706327630
133935b4058
1420a329152
1512ad3e960
hexb48498c4

3028588740 has 36 divisors (see below), whose sum is σ = 9186719724. Its totient is φ = 807623616.

The previous prime is 3028588723. The next prime is 3028588757. The reversal of 3028588740 is 478858203.

3028588740 is a `hidden beast` number, since 3 + 0 + 28 + 588 + 7 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3028588723) and next prime (3028588757).

It can be written as a sum of positive squares in 2 ways, for example, as 1353651264 + 1674937476 = 36792^2 + 40926^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×30285887403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8412567 + ... + 8412926.

It is an arithmetic number, because the mean of its divisors is an integer number (255186659).

Almost surely, 23028588740 is an apocalyptic number.

3028588740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3028588740 is an abundant number, since it is smaller than the sum of its proper divisors (6158130984).

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

3028588740 is a wasteful number, since it uses less digits than its factorization.

3028588740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16825508 (or 16825503 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3028588740 is about 55032.6152386019. The cubic root of 3028588740 is about 1446.8164383247.

It can be divided in two parts, 30285 and 88740, that added together give a square (119025 = 3452).

The spelling of 3028588740 in words is "three billion, twenty-eight million, five hundred eighty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 16825493 33650986 50476479 67301972 84127465 100952958 151429437 168254930 201905916 252382395 302858874 336509860 504764790 605717748 757147185 1009529580 1514294370 3028588740