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3045000300 = 2235241281881
BaseRepresentation
bin1011010101111111…
…0000010001101100
321212012201001010220
42311133300101230
522214010002200
61222052531340
7135313034616
oct26537602154
97765631126
103045000300
111322906881
1270b920b50
13396b0c034
1420c59bdb6
1512c4d24a0
hexb57f046c

3045000300 has 144 divisors (see below), whose sum is σ = 9067482144. Its totient is φ = 788480000.

The previous prime is 3045000263. The next prime is 3045000311. The reversal of 3045000300 is 30005403.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3045000300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3455860 + ... + 3456740.

It is an arithmetic number, because the mean of its divisors is an integer number (62968626).

Almost surely, 23045000300 is an apocalyptic number.

3045000300 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 3045000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533741072).

3045000300 is an abundant number, since it is smaller than the sum of its proper divisors (6022481844).

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

3045000300 is a wasteful number, since it uses less digits than its factorization.

3045000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3045000300 is about 55181.5213635869. The cubic root of 3045000300 is about 1449.4251070165.

Adding to 3045000300 its reverse (30005403), we get a palindrome (3075005703).

The spelling of 3045000300 in words is "three billion, forty-five million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 281 300 410 492 562 615 820 843 881 1025 1124 1230 1405 1686 1762 2050 2460 2643 2810 3075 3372 3524 4100 4215 4405 5286 5620 6150 7025 8430 8810 10572 11521 12300 13215 14050 16860 17620 21075 22025 23042 26430 28100 34563 36121 42150 44050 46084 52860 57605 66075 69126 72242 84300 88100 108363 115210 132150 138252 144484 172815 180605 216726 230420 247561 264300 288025 345630 361210 433452 495122 541815 576050 691260 722420 742683 864075 903025 990244 1083630 1152100 1237805 1485366 1728150 1806050 2167260 2475610 2709075 2970732 3456300 3612100 3713415 4951220 5418150 6189025 7426830 10150001 10836300 12378050 14853660 18567075 20300002 24756100 30450003 37134150 40600004 50750005 60900006 74268300 101500010 121800012 152250015 203000020 253750025 304500030 507500050 609000060 761250075 1015000100 1522500150 3045000300