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400003340 = 225119771861
BaseRepresentation
bin10111110101111…
…001000100001100
31000212200021102112
4113311321010030
51304400101330
6103405243152
712624654332
oct2765710414
91025607375
10400003340
11195878480
12b1b634b8
1364b42c89
143b1a5b52
15251b4795
hex17d7910c

400003340 has 48 divisors (see below), whose sum is σ = 917802144. Its totient is φ = 145228800.

The previous prime is 400003309. The next prime is 400003367. The reversal of 400003340 is 43300004.

400003340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4000033402 = 320005344022311200, which contains 22 as substring.

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, 214010 + ... + 215870.

It is an arithmetic number, because the mean of its divisors is an integer number (19120878).

Almost surely, 2400003340 is an apocalyptic number.

It is an amenable number.

400003340 is an abundant number, since it is smaller than the sum of its proper divisors (517798804).

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

400003340 is a wasteful number, since it uses less digits than its factorization.

400003340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 400003340 is about 20000.0834998257. The cubic root of 400003340 is about 736.8083504999.

Adding to 400003340 its reverse (43300004), we get a palindrome (443303344).

The spelling of 400003340 in words is "four hundred million, three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 977 1861 1954 3722 3908 4885 7444 9305 9770 10747 18610 19540 20471 21494 37220 40942 42988 53735 81884 102355 107470 204710 214940 409420 1818197 3636394 7272788 9090985 18181970 20000167 36363940 40000334 80000668 100000835 200001670 400003340