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30342222432 = 253335118313
BaseRepresentation
bin11100010000100010…
…011001001001100000
32220022121020121022000
4130100202121021200
5444120102104212
621534455044000
72122623430614
oct342042311140
986277217260
1030342222432
1111960436895
125a69670600
132b27257192
14167ba8d344
15bc8bc81dc
hex710899260

30342222432 has 48 divisors (see below), whose sum is σ = 88498151280. Its totient is φ = 10114073856.

The previous prime is 30342222367. The next prime is 30342222433. The reversal of 30342222432 is 23422224303.

It is a happy number.

30342222432 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 2 + 222 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×303422224322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30342222396 and 30342222405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30342222433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17558293 + ... + 17560020.

It is an arithmetic number, because the mean of its divisors is an integer number (1843711485).

Almost surely, 230342222432 is an apocalyptic number.

30342222432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30342222432 is an abundant number, since it is smaller than the sum of its proper divisors (58155928848).

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

30342222432 is a wasteful number, since it uses less digits than its factorization.

30342222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35118332 (or 35118318 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 30342222432 its reverse (23422224303), we get a palindrome (53764446735).

The spelling of 30342222432 in words is "thirty billion, three hundred forty-two million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 35118313 70236626 105354939 140473252 210709878 280946504 316064817 421419756 561893008 632129634 842839512 948194451 1123786016 1264259268 1685679024 1896388902 2528518536 3371358048 3792777804 5057037072 7585555608 10114074144 15171111216 30342222432