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2404300040 = 235479831301
BaseRepresentation
bin1000111101001110…
…1011010100001000
320012120010002121122
42033103223110020
514411000100130
61034324254412
7113403133052
oct21723532410
96176102548
102404300040
11102418a22a
12571241408
132c4162c5c
1418b45c8d2
15e11252e5
hex8f4eb508

2404300040 has 64 divisors (see below), whose sum is σ = 5534645760. Its totient is φ = 939577600.

The previous prime is 2404300039. The next prime is 2404300069. The reversal of 2404300040 is 400034042.

It is a junction number, because it is equal to n+sod(n) for n = 2404299991 and 2404300018.

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, 1847390 + ... + 1848690.

It is an arithmetic number, because the mean of its divisors is an integer number (86478840).

Almost surely, 22404300040 is an apocalyptic number.

2404300040 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 2404300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767322880).

2404300040 is an abundant number, since it is smaller than the sum of its proper divisors (3130345720).

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

2404300040 is a wasteful number, since it uses less digits than its factorization.

2404300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2404300040 is about 49033.6623147813. The cubic root of 2404300040 is about 1339.6650309974.

Adding to 2404300040 its reverse (400034042), we get a palindrome (2804334082).

The spelling of 2404300040 in words is "two billion, four hundred four million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 983 1301 1880 1966 2602 3932 4915 5204 6505 7864 9830 10408 13010 19660 26020 39320 46201 52040 61147 92402 122294 184804 231005 244588 305735 369608 462010 489176 611470 924020 1222940 1278883 1848040 2445880 2557766 5115532 6394415 10231064 12788830 25577660 51155320 60107501 120215002 240430004 300537505 480860008 601075010 1202150020 2404300040