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32400000030 = 2356773321991
BaseRepresentation
bin11110001011001100…
…001100010000011110
310002122000022112111010
4132023030030100132
51012323400000110
622515004240050
72224621312326
oct361314142036
9102560275433
1032400000030
1112816a56632
126342840026
133094680a68
1417d50a8286
15c996a0020
hex78b30c41e

32400000030 has 64 divisors (see below), whose sum is σ = 79031858688. Its totient is φ = 8499047040.

The previous prime is 32399999981. The next prime is 32400000089. The reversal of 32400000030 is 3000000423.

It is a junction number, because it is equal to n+sod(n) for n = 32399999961 and 32400000015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462335 + ... + 1484325.

It is an arithmetic number, because the mean of its divisors is an integer number (1234872792).

Almost surely, 232400000030 is an apocalyptic number.

32400000030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32400000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39515929344).

32400000030 is an abundant number, since it is smaller than the sum of its proper divisors (46631858658).

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

32400000030 is a wasteful number, since it uses less digits than its factorization.

32400000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22801.

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 32400000030 its reverse (3000000423), we get a palindrome (35400000453).

The spelling of 32400000030 in words is "thirty-two billion, four hundred million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 733 1005 1466 2010 2199 3665 4398 7330 10995 21990 21991 43982 49111 65973 98222 109955 131946 147333 219910 245555 294666 329865 491110 659730 736665 1473330 1473397 2946794 4420191 7366985 8840382 14733970 16119403 22100955 32238806 44201910 48358209 80597015 96716418 161194030 241791045 483582090 1080000001 2160000002 3240000003 5400000005 6480000006 10800000010 16200000015 32400000030