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30169944 = 23327311931
BaseRepresentation
bin111001100010…
…1101101011000
32002202210101100
41303011231120
530210414234
62554351400
7514304010
oct163055530
962683340
1030169944
1116037142
12a12b560
13633444c
144014c40
1529ae399
hex1cc5b58

30169944 has 96 divisors (see below), whose sum is σ = 96445440. Its totient is φ = 8337600.

The previous prime is 30169943. The next prime is 30169963. The reversal of 30169944 is 44996103.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30169899 and 30169908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30169943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14659 + ... + 16589.

It is an arithmetic number, because the mean of its divisors is an integer number (1004640).

Almost surely, 230169944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30169944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48222720).

30169944 is an abundant number, since it is smaller than the sum of its proper divisors (66275496).

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

30169944 is a wasteful number, since it uses less digits than its factorization.

30169944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 30169944 is about 5492.7173602872. The cubic root of 30169944 is about 311.3088745260.

It can be divided in two parts, 30169 and 944, that added together give a palindrome (31113).

The spelling of 30169944 in words is "thirty million, one hundred sixty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1931 1953 2232 2604 3862 3906 5208 5793 7724 7812 11586 13517 15448 15624 17379 23172 27034 34758 40551 46344 54068 59861 69516 81102 108136 119722 121653 139032 162204 179583 239444 243306 324408 359166 419027 478888 486612 538749 718332 838054 973224 1077498 1257081 1436664 1676108 2154996 2514162 3352216 3771243 4309992 5028324 7542486 10056648 15084972 30169944