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3338000040 = 2335191145637
BaseRepresentation
bin1100011011110101…
…1101011010101000
322121122000222020010
43012331131122220
523314012000130
61311120531520
7145501350354
oct30675353250
98548028203
103338000040
111463239921
12791a80ba0
1341272876b
1423946c464
151480ac0b0
hexc6f5d6a8

3338000040 has 64 divisors (see below), whose sum is σ = 10066498560. Its totient is φ = 885466880.

The previous prime is 3338000033. The next prime is 3338000059. The reversal of 3338000040 is 400008333.

It is a super-2 number, since 2×33380000402 = 22284488534080003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3337999980 and 3338000016.

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, 49899 + ... + 95738.

It is an arithmetic number, because the mean of its divisors is an integer number (157289040).

Almost surely, 23338000040 is an apocalyptic number.

3338000040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3338000040 is an abundant number, since it is smaller than the sum of its proper divisors (6728498520).

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

3338000040 is a wasteful number, since it uses less digits than its factorization.

3338000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145842 (or 145838 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3338000040 is about 57775.4276487851. The cubic root of 3338000040 is about 1494.4983704964.

Adding to 3338000040 its reverse (400008333), we get a palindrome (3738008373).

The spelling of 3338000040 in words is "three billion, three hundred thirty-eight million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 145637 291274 436911 582548 728185 873822 1165096 1456370 1747644 2184555 2912740 3495288 4369110 5825480 8738220 17476440 27816667 55633334 83450001 111266668 139083335 166900002 222533336 278166670 333800004 417250005 556333340 667600008 834500010 1112666680 1669000020 3338000040