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30994164 = 22381181
BaseRepresentation
bin111011000111…
…0111011110100
32011022200000000
41312032323310
530413303124
63024151300
7524305665
oct166167364
964280000
1030994164
111654a413
12a468530
136562656
14418b36c
152ac36c9
hex1d8eef4

30994164 has 54 divisors (see below), whose sum is σ = 81424434. Its totient is φ = 10322640.

The previous prime is 30994163. The next prime is 30994169. The reversal of 30994164 is 46149903.

30994164 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 30338064 + 656100 = 5508^2 + 810^2 .

It is a tau number, because it is divible by the number of its divisors (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30994163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25654 + ... + 26834.

Almost surely, 230994164 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 30994164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40712217).

30994164 is an abundant number, since it is smaller than the sum of its proper divisors (50430270).

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

30994164 is an equidigital number, since it uses as much as digits as its factorization.

30994164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1186 counting only the distinct ones).

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

The square root of 30994164 is about 5567.2402498904. The cubic root of 30994164 is about 314.1183509939.

The spelling of 30994164 in words is "thirty million, nine hundred ninety-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1181 1458 2187 2362 2916 3543 4374 4724 6561 7086 8748 10629 13122 14172 21258 26244 31887 42516 63774 95661 127548 191322 286983 382644 573966 860949 1147932 1721898 2582847 3443796 5165694 7748541 10331388 15497082 30994164