Search a number
-
+
30403310040 = 2333528151213
BaseRepresentation
bin11100010100001011…
…011011000111011000
32220110212012011202000
4130110023123013120
5444231221410130
621544520241000
72124264604605
oct342413330730
986425164660
1030403310040
111199196a914
125a86010160
132b36ac51ac
141685c316ac
15bce243260
hex7142db1d8

30403310040 has 64 divisors (see below), whose sum is σ = 101344370400. Its totient is φ = 8107549056.

The previous prime is 30403309967. The next prime is 30403310057. The reversal of 30403310040 is 4001330403.

It is a super-2 number, since 2×304033100402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30403309995 and 30403310022.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14074527 + ... + 14076686.

Almost surely, 230403310040 is an apocalyptic number.

30403310040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30403310040 is an abundant number, since it is smaller than the sum of its proper divisors (70941060360).

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

30403310040 is a wasteful number, since it uses less digits than its factorization.

30403310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28151233 (or 28151223 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30403310040 its reverse (4001330403), we get a palindrome (34404640443).

The spelling of 30403310040 in words is "thirty billion, four hundred three million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 28151213 56302426 84453639 112604852 140756065 168907278 225209704 253360917 281512130 337814556 422268195 506721834 563024260 675629112 760082751 844536390 1013443668 1126048520 1266804585 1520165502 1689072780 2026887336 2533609170 3040331004 3378145560 3800413755 5067218340 6080662008 7600827510 10134436680 15201655020 30403310040